Technoculture/ambiguous_gsm8k · Datasets at Hugging Face

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There are some jelly beans in a jar. Three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored. If a certain number jelly beans are coconut flavored, how many jelly beans are there in the jar?	[ { "keywords": [ "flavored.", "If", "jelly", "beans" ], "value": "750" } ]	There are 7504=<<7504=3000>>3000 red jelly beans. There are 3000/34=<<3000/34=4000>>4000 jelly beans in the jar. #### 4000
Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has twice as many job applications as rebates to mail. How many stamps does she need if everything needs a certain number stamp except the electric bill, which needs 2?	[ { "keywords": [ "everything", "needs", "stamp", "except" ], "value": "1" } ]	Valerie has to send a thank you card to each of 3 people, so she has 3 * 1 = <<31=3>>3 thank you cards to mail. She has 2 bills to mail. She has 3 more rebates than bills, so 3 + 2 = <<3+2=5>>5 mail-in rebates to mail. She has twice as many job applications as rebates, so she has 2 5 = <<2*5=10>>10 applications to mail. She has 3 + 2 + 5 + 10 = <<3+2+5+10=20>>20 pieces of mail to send. The electric bill needs an extra stamp, so she needs 20 + 1 = <<20+1=21>>21 stamps. #### 21
An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of a certain number fish, how many clownfish are now in the display tank?	[ { "keywords": [ "total", "of", "fish,", "how" ], "value": "100" } ]	There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = <<100/2=50>>50 blowfish. Since some stay in their tanks, there are 50 blowfish – 26 blowfish = <<50-26=24>>24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = <<24/3=8>>8 clownfish swam back to their own tank. This leaves 24 clownfish – 8 clownfish = <<24-8=16>>16 clownfish in the display tank. #### 16
Jeanette is practicing her juggling. Each week she can juggle a certain number more objects than the week before. If she starts out juggling 3 objects and practices for a certain number weeks, how many objects can she juggle?	[ { "keywords": [ "practices", "for", "weeks,", "how" ], "value": "5" }, { "keywords": [ "can", "juggle", "more", "objects" ], "value": "2" } ]	First find the total number of additional objects she learns to juggle: 2 objects/week * 5 weeks = <<2*5=10>>10 objects Then add the initial number of objects she could juggle to find the total: 10 objects + 3 objects = <<10+3=13>>13 objects #### 13
Jessa needs to make cupcakes for 3 fourth-grade classes that each have 30 students and a P.E. class with a certain number students. How many cupcakes does she need to make?	[ { "keywords": [ "class", "with", "students.", "How" ], "value": "50" } ]	For the fourth-grade classes, Jessa needs 3 classes * 30 cupcakes/class = <<3*30=90>>90 cupcakes Adding the cupcakes for the P.E. class 50, she needs to make a total of 90 cupcakes + 50 cupcakes = <<90+50=140>>140 cupcakes #### 140
Carrie works for $8 an hour and a certain number hours a week at her job. It’s been a month since she started working there. She has saved up all of her money because she wants to buy a bike for $400. How much money will she have left over after she buys her bike?	[ { "keywords": [ "hour", "and", "hours", "a" ], "value": "35" } ]	It will be easy to solve the problem by first calculating how much money she makes in a week at her job by multiplying her hourly rate by the number of hours she works in a week: $8 * 35 = $<<835=280>>280 in a week The weekly earnings need to be multiplied by the number of weeks in a month to get how much she made in a month: $280 4 = $<<280*4=1120>>1120 The bike’s cost must be subtracted from her earnings made in a month to get how much money is left over after purchasing the bike: $1120 - $400 = $<<1120-400=720>>720 is left over after purchasing her bike #### 720
Stella and Twinkle are filling up a truck with a capacity of a certain number000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?	[ { "keywords": [ "joined", "by", "other", "people" ], "value": "6" }, { "keywords": [ "capacity", "of", "stone", "blocks" ], "value": "6000" } ]	Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2250 = <<2502=500>>500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4500 = <<4500=2000>>2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000-2000 = <<6000-2000=4000>>4000 When 6 more people joined Stella and Twinkle, a total of 2+6 = <<2+6=8>>8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 2508 = <<2508=2000>>2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000/2000 = <<4000/2000=2>>2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4+2 = <<4+2=6>>6 hours. #### 6
In a conference room, 40 chairs with a capacity of a certain number people each were arranged in rows in preparation for the board meeting of a company, whose number of members was the same as the chairs' capacity. If a certain number of the chairs were not occupied, and the rest each had two people, calculate the number of board members who did attend the meeting.	[ { "keywords": [ "capacity.", "If", "of", "the" ], "value": "2/5" }, { "keywords": [ "capacity", "of", "people", "each" ], "value": "2" } ]	The total capacity of the 40 chairs was 402=<<402=80>>80 people. If 2/5 of the chairs were unoccupied, 2/580=<<2/580=32>>32 people missed the board meeting since the number of members was the same as the chair's capacity. The number of board members who attended the meeting was 80-32=<<80-32=48>>48 #### 48
A bulk warehouse is offering a certain number cans of sparkling water for $a certain number.00 a case. The local grocery store is offering the same sparkling water for $6.00 and it only has 12 cans. How much more expensive, per can, in cents, is this deal at the grocery store?	[ { "keywords": [ "only", "has", "cans.", "How" ], "value": "12" }, { "keywords": [ "is", "offering", "cans", "of" ], "value": "48" } ]	The bulk warehouse has 48 cans for $12.00 so that's 12/48 = $0.25 a can The local grocery store has 12 cans for $6.00 so that's 6/12 = $0.50 a can The grocery store offer is $0.50 a can and the warehouse is $0.25 a can so the grocery store is .50-.25 = $<<0.50-.25=0.25>>0.25 more expensive per can #### 25
Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used a certain number feet of yarn for the third ball. How many feet of yarn did she use for the second ball?	[ { "keywords": [ "She", "used", "feet", "of" ], "value": "27" } ]	The first ball is a third of the size of the third ball, so it used 27 / 3 = <<27/3=9>>9 feet of yarn. The second ball is twice the size of the first ball, so she used 9 * 2 = <<9*2=18>>18 feet of yarn. #### 18
Haley grows at the rate of a certain number inches every year. If she is currently 20 inches tall, what will be her height after 10 years?	[ { "keywords": [ "rate", "of", "inches", "every" ], "value": "3" } ]	After 10 years, growing at the rate of 3 inches every year, Haley will have grown by 310 = <<310=30>>30 inches. If she is currently 20 inches tall, her height after 10 years will be 20+30 = <<20+30=50>>50 inches. #### 50
John has five more roommates than twice as many as Bob. If Bob has a certain number roommates, how many roommates does John have?	[ { "keywords": [ "Bob", "has", "roommates,", "how" ], "value": "10" } ]	Twice ten roommates is 210 = <<210=20>>20 John has 5 more than 20 roommates which is 20+5 = <<5+20=25>>25 roommates #### 25
Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in a certain number minutes?	[ { "keywords": [ "make", "in", "minutes?" ], "value": "5" } ]	The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 23=<<23=6>>6 meows per minute. The third cat meowed at one-third the frequency of the second cat, for a total of 6/3=<<6/3=2>>2 meows per minute. Thus, combined, the three cats meow 3+6+2=<<3+6+2=11>>11 times per minute. In five minutes, the three cats meow 511=<<511=55>>55 times. #### 55
A school principal is booking hotel rooms for a class of a certain number students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class?	[ { "keywords": [ "class", "of", "students", "to" ], "value": "30" } ]	Each room can fit 22 + 1 = <<22+1=5>>5 students. Thus, the principal needs to book 30/5 = <<30/5=6>>6 rooms to fit everyone. #### 6
Ali had a collection of seashells. He started with 180 seashells. He then gave away a certain number seashells to his friends. He also gave a certain number seashells to his brothers. If he sold half of the remaining seashells, how many seashells did he have left?	[ { "keywords": [ "gave", "away", "seashells", "to" ], "value": "40" }, { "keywords": [ "also", "gave", "seashells", "to" ], "value": "30" } ]	When he gave 40 seashells to his friends, Ali had 180-40= <<180-40=140>>140 seashells. When he gave another 30 seashells to his brothers, he had 140-30 = <<140-30=110>>110 seashells He also sold half of the seashells, a total of 1/2*110 = <<55=55>>55 seashells He was left with 110-55= <<110-55=55>>55 seashells #### 55
Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked a certain number Mitchell had read 20 pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didn't read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter in the book had 40 pages, calculate the total number of pages that Mitchell had read altogether?	[ { "keywords": [ "it", "clocked", "Mitchell", "had" ], "value": "4," } ]	Since each chapter of the book has 40 pages, Mitchell had read 1040 = <<1040=400>>400 pages from the first ten chapters. After reading 20 pages of the eleventh chapter, the total number of pages that Mitchell had read is 400+20 = <<400+20=420>>420 The next two chapters that she read had 240 = <<240=80>>80 pages. In total, Mitchell read 420+80 = <<420+80=500>>500 pages of the book that day. #### 500
James buys 5 packs of beef that are a certain number pounds each. The price of beef is $5.50 per pound. How much did he pay?	[ { "keywords": [ "that", "are", "pounds", "each." ], "value": "4" } ]	He bought 54=<<54=20>>20 pounds of beef So he paid 205.5=$<<205.5=110>>110 #### 110
There are a certain number students in a class. If a certain number are absent, 3/4 of the students who are present are in the classroom, and the rest are in the canteen, how many students are in the canteen?	[ { "keywords": [ "class.", "If", "are", "absent," ], "value": "1/10" }, { "keywords": [ "There", "are", "students", "in" ], "value": "40" } ]	Out of the 40, 40 x 1/10 = <<401/10=4>>4 students are absent. So, 40 - 4 = <<40-4=36>>36 students are present in school. Out of the 36, 36 x 3/4 = <<363/4=27>>27 students are in the classroom. This means, 36 - 27 = <<36-27=9>>9 students are in the canteen. #### 9
A couple with two children, ages 6 and 10 years old, decided to go to an amusement park. The regular ticket costs $109, but children below a certain number years old have a $5 discount. If they gave the cashier $500, how much change will they receive?	[ { "keywords": [ "children", "below", "years", "old" ], "value": "12" } ]	The ticket costs 109 - 5 = $<<109-5=104>>104 for each child. So the ticket cost of the two children is 104 x 2 = $<<1042=208>>208. The couple needs to pay the regular price, so it's 109 x 2 = $<<1092=218>>218. Thus, the family needs to pay a total of 208 + 218 = $<<208+218=426>>426. Therefore, their change is 500 - 426 = $<<500-426=74>>74. #### 74
Kennedy's house is a certain number square feet larger than 4 times Benedict's house. If Kennedy's house is 10000 square feet, how many square feet is Benedict's house?	[ { "keywords": [ "house", "is", "square", "feet" ], "value": "600" } ]	Let the number of square feet in Benedict's house be x. So, we can write the equation 4 * x + 600 = 10000. Subtracting 600 from both sides we get 4 * x = 9400 Dividing both sides by 4 we get x = 2350 square feet. #### 2350
Loraine makes wax sculptures of animals. Large animals take four sticks of wax and small animals take two sticks. She made three times as many small animals as large animals, and she used a certain number sticks of wax for small animals. How many sticks of wax did Loraine use to make all the animals?	[ { "keywords": [ "she", "used", "sticks", "of" ], "value": "12" } ]	Loraine made 12 / 2 = <<12/2=6>>6 small animals. She made 6 / 3 = <<6/3=2>>2 large animals. She used 2 * 4 = <<2*4=8>>8 sticks of wax on large animals. Therefore, Loraine used 12 + 8 = <<12+8=20>>20 sticks of wax for all the animals. #### 20
3 families of 4 people shared a vacation rental for a certain number days. Everyone uses 1 oversized beach towel a day before getting a new one. The washing machine can hold a certain number oversized beach towels per load. How many loads of laundry will it take to wash all the oversized beach towels?	[ { "keywords": [ "rental", "for", "days.", "Everyone" ], "value": "7" }, { "keywords": [ "can", "hold", "oversized", "beach" ], "value": "14" } ]	There are 3 families of 4 meaning there are 34 =<<34=12>>12 people in the vacation rental They all use 1 oversized beach towel a day so they use 112 = <<112=12>>12 towels a day They use 12 towels a day for 7 days so in one week they use 127 = <<127=84>>84 beach towels The washing machine can only hold 14 towels and they have 84 towels to wash which means there are 84/14 =<<84/14=6>>6 loads of laundry #### 6
A gallon of whole milk that normally costs $a certain number is now sold at $2. A box of cereal was sold at a discount of $1. How much will you save via discounts if you buy 3 gallons of whole milk and a certain number boxes of cereal?	[ { "keywords": [ "you", "buy", "gallons", "of" ], "value": "3" }, { "keywords": [ "milk", "and", "boxes", "of" ], "value": "5" } ]	The discount for each gallon of whole milk is $3 - $2 = $<<3-2=1>>1. So the discount for 3 gallons of whole milk is $1/gallon x 3 gallons = $<<13=3>>3. The total discount for 5 boxes of cereal is $1/box x 5 boxes = $<<15=5>>5. You will save $3 + $5 = $<<3+5=8>>8 for 3 gallons of whole milk and 5 boxes of cereal. #### 8
Janice's office is on the third floor, and she has to walk up a certain number flights of stairs to get to her office. In a single day, she goes up the three flights of stairs 5 times, down the the three flights of stairs 3 times, and uses the elevator the remainder of the time. How many flights of stairs does Janice walk (up and down) in a single day?	[ { "keywords": [ "walk", "up", "flights", "of" ], "value": "3" } ]	Janice walks up 3 flights of stairs 5 times per day, for a total of 35 = <<35=15>>15 flights of stairs Janice walks down 3 flights of stairs 3 times per day, for a total of 33 = <<33=9>>9 flights of stairs In total, she walks 15+9=<<15+9=24>>24 flights of stairs in a single day #### 24
Fern is checking IDs to get into an R-rated movie. She denied 20% of the a certain number kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie?	[ { "keywords": [ "of", "the", "kids", "from" ], "value": "120" } ]	First find how many kids from Riverside High are rejected: 20% * 120 kids = <<20.01120=24>>24 kids Then find how many kids from West Side High are rejected: 70% * 90 kids = <<70.0190=63>>63 kids Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = <<50/2=25>>25 kids Then add the number of kids from each school to find the total number of kids: 120 kids + 90 kids + 50 kids = <<120+90+50=260>>260 kids Then subtract all the kids who were rejected from the total number of kids to find the number who got in: 260 kids - 24 kids - 63 kids - 25 kids = <<260-24-63-25=148>>148 kids #### 148
A cleaning company produces two sanitizer sprays. One spray kills 50% of germs, and another spray kills 2a certain number of germs. However, 5% of the germs they kill are the same ones. What percentage of germs would be left after using both sanitizer sprays together?	[ { "keywords": [ "germs.", "However,", "of", "the" ], "value": "5%" }, { "keywords": [ "spray", "kills", "of", "germs." ], "value": "25%" } ]	After the first spray kills 50% of germs, there will be 100 - 50 = <<100-50=50>>50% left. The second spray kills 25%, but 5% have already been killed by the 50% spray, so it kills 25 - 5 = <<25-5=20>>20%. After the second spray kills 20% of the remaining germs, there will be 50 - 20 = <<50-20=30>>30% left. #### 30
Toby is counting goldfish in the local pond. He knows that only a certain number of goldfish are at the surface and the rest are too deep below the surface to be able to see. If he counts a certain number goldfish, how many are below the surface?	[ { "keywords": [ "that", "only", "of", "goldfish" ], "value": "25%" }, { "keywords": [ "he", "counts", "goldfish,", "how" ], "value": "15" } ]	There are 60 goldfish because 15 / .25 = <<15/.25=60>>60 75% of the fish are below the surface because 100 - 25 = <<100-25=75>>75 There are 45 goldfish below the surface because 60 x .75 = <<60*.75=45>>45 #### 45
The owner of a Turkish restaurant wanted to prepare traditional dishes for an upcoming celebration. She ordered ground beef, in four-pound packages, from three different butchers. The following morning, the first butcher delivered a certain number packages. A couple of hours later, a certain number packages arrived from the second butcher. Finally, the third butcher’s delivery arrived at dusk. If all the ground beef delivered by the three butchers weighed 100 pounds, how many packages did the third butcher deliver?	[ { "keywords": [ "butcher", "delivered", "packages.", "A" ], "value": "10" }, { "keywords": [ "hours", "later,", "packages", "arrived" ], "value": "7" } ]	Since each package weighed 4 pounds, the first butcher delivered 10 * 4 = <<104=40>>40 pounds The second butcher's delivery was 7 4 = <<7*4=28>>28 pounds The first two butchers therefore delivered 40 + 28 = <<40+28=68>>68 pounds Subtracting that weight from the total weight of ground beef gives 100 - 68 = <<100-68=32>>32 pounds It therefore means the third butcher delivered 32/4 = <<32/4=8>>8 packages. #### 8
James watched a certain number episodes of Jeopardy and 2 episodes of Wheel of Fortune. Jeopardy is 20 minutes and Wheel of Fortune is twice as long. How many hours did he watch TV?	[ { "keywords": [ "James", "watched", "episodes", "of" ], "value": "2" } ]	He watched 220=<<220=40>>40 minutes of Jeopardy. Wheel of Fortune is 220=<<220=40>>40 minutes each. So he watched it for 402=<<402=80>>80 minutes. So he watched 40+80=<<40+80=120>>120 minutes of TV. That means he watched 120/60=<<120/60=2>>2 hours of TV. #### 2
Richard can clean his room in 22 minutes. Cory takes a certain number minutes more than Richard to clean her room while Blake can clean his room a certain number minutes more quickly than Cory. If they have to clean their rooms twice a week, how many minutes do all three spend cleaning their rooms each week?	[ { "keywords": [ "Cory", "takes", "minutes", "more" ], "value": "3" }, { "keywords": [ "his", "room", "minutes", "more" ], "value": "4" } ]	Cory takes 22 + 3 = <<22+3=25>>25 minutes to clean her room. Blake takes 25 - 4 = <<25-4=21>>21 minutes to clean his room. The three of them can clean their room in 22 + 25 + 21 = <<22+25+21=68>>68 minutes in all. In a week, they spend 68 x 2 = <<68*2=136>>136 minutes cleaning their rooms. #### 136
Mary has 5 green crayons and a certain number blue crayons of different shades. If she gives out a certain number green crayons and 1 blue crayon to Becky, how many crayons does she have left?	[ { "keywords": [ "gives", "out", "green", "crayons" ], "value": "3" }, { "keywords": [ "crayons", "and", "blue", "crayons" ], "value": "8" } ]	She had 5+8 = <<5+8=13>>13 crayons to start with She gave out 3+1 = <<3+1=4>>4 crayons to Becky She will have 13-4 = <<13-4=9>>9 crayons left #### 9
Winwin won $50 in a lottery. She paid a certain number for the tax and she paid $5 for the processing fee. How much was she able to take home?	[ { "keywords": [ "She", "paid", "for", "the" ], "value": "20%" } ]	Winwin paid $50 x 20/100 = $<<50*20/100=10>>10 for the tax. So, she has $50 - $10 = <<50-10=40>>40 after paying the tax. Therefore, Winwin was able to take home $40 - $5 = $<<40-5=35>>35 after she paid for the processing fee. #### 35
In a certain number years, Jayden will be half of Ernesto's age. If Ernesto is a certain number years old, how many years old is Jayden now?	[ { "keywords": [ "In", "years,", "Jayden" ], "value": "3" }, { "keywords": [ "Ernesto", "is", "years", "old," ], "value": "11" } ]	Ernesto = 11 + 3 = <<11+3=14>>14 Jayden = 14/2 = <<14/2=7>>7 in 3 years Now = 7 - 3 = <<7-3=4>>4 Jayden is 4 years old. #### 4
Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver a certain number meals and packages combined, how many meals does she deliver?	[ { "keywords": [ "to", "deliver", "meals", "and" ], "value": "27" } ]	Let p be the number of packages Angela delivers and m be the number of meals. We know that p + m = 27 and p = 8m. Substituting the second equation into the first equation, we get 8m + m = 27 Combining like terms, we get 9m = 27 Dividing both sides by 9, we get m = 3 #### 3
Keiko sent a certain number text messages last week. This week she sent 50 less than double what she sent last week. How many text messages did Keiko send last week and this week combined?	[ { "keywords": [ "Keiko", "sent", "text", "messages" ], "value": "111" } ]	Last week = 111 texts This week = (2 * 111) - 50 = <<(2*111)-50=172>>172 texts 111 + 172 = <<111+172=283>>283 texts Keiko sent 283 texts last week and this week combined. #### 283
A one-year subscription to a newspaper is offered with a a certain number discount. How much does the discounted subscription cost if a subscription normally costs $80?	[ { "keywords": [ "with", "a", "discount.", "How" ], "value": "45%" } ]	We calculate first the discount: 80 * 45 / 100 = $<<80*45/100=36>>36 So, the discounted subscription amounts to 80 – 36 = $<<80-36=44>>44 #### 44
Tim's cat bit him. He decided to get himself and the cat checked out. His doctor's visits $300 and insurance covered a certain number His cat's visit cost $120 and his pet insurance covered $60. How much did he pay?	[ { "keywords": [ "insurance", "covered", "His", "cat's" ], "value": "75%." } ]	The insurance covers 300.75=$<<300.75=225>>225 So he had to pay 300-225=$<<300-225=75>>75 The cats visit cost 120-60=$<<120-60=60>>60 So in total he paid 75+60=$<<75+60=135>>135 #### 135
Ariella has $200 more in her son's saving account than Daniella has in her son's savings account. Ariella's account earns her simple interest at the rate of a certain number per annum. If Daniella has $400, how much money will Arialla have after two years?	[ { "keywords": [ "rate", "of", "per", "annum." ], "value": "10%" } ]	If Ariella has $200 more in her son's saving account than Daniella has, then she has $400 + $200 = $600 If she earns an interest of 10% in the first year, her savings account increases by 10/100 * $600 = $<<10/100*600=60>>60 In the second year, she earns the same amount of interest, which $60 + $60 = $<<60+60=120>>120 The total amount of money in Ariella's account after two years is $600 + $120 = $<<600+120=720>>720 #### 720
Colby harvested his mango trees, the total mangoes he harvested is 60 kilograms. He sold a certain number kilograms to the market and sold the remaining half to his community. If each kilogram contains a certain number mangoes, how many mangoes does he still have?	[ { "keywords": [ "kilogram", "contains", "mangoes,", "how" ], "value": "8" }, { "keywords": [ "He", "sold", "kilograms", "to" ], "value": "20" } ]	He has 60-20= <<60-20=40>>40 kilograms of mangoes left after selling them to the market. Colby sold 1/2 x 40 = <<1/240=20>>20 kilograms of mangoes to the community. Therefore, Colby still has 20x8= <<208=160>>160 pieces of mangoes. #### 160
George bought some food for his trip: a bottle of juice, a sandwich, and a bottle of milk. The sandwich was for $4, and the juice was two times more expensive. The bottle of milk cost was a certain number of the total cost of the sandwich and juice. How much did George pay for his food?	[ { "keywords": [ "cost", "was", "of", "the" ], "value": "75%" } ]	The juice was two times more expensive than the sandwich, so it was 4 * 2 = $<<24=8>>8. The juice and the sandwich in total were a cost of 4 + 8 = $<<4+8=12>>12. So the cost of one bottle of milk was 75/100 12 = $<<75/100*12=9>>9. In total for all the food, George paid 12 + 9 = $<<12+9=21>>21. #### 21
A young girl pours 2a certain number blue beads and 16 yellow beads into a bowl. She divides the total into 3 equal parts, removes some beads from each part, and doubles the rest to have 6 beads in each part now. How many beads were removed from each part?	[ { "keywords": [ "total", "into", "equal", "parts," ], "value": "3" } ]	There are 23+16=<<23+16=39>>39 beads in the bowl Dividing them into 3 equal parts give 39/3=<<39/3=13>>13 beads each Before doubling the number of beads, she had 6/2=<<6/2=3>>3 beads left in each part. Therefore she had removed 13-3=<<13-3=10>>10 beads from each part. #### 10
Jerome is taking a a certain number bicycle trip. He wants to ride 12 miles for 12 days. How long will he ride on the a certain number day to finish his goal?	[ { "keywords": [ "on", "the", "day", "to" ], "value": "13th" }, { "keywords": [ "taking", "a", "bicycle", "trip." ], "value": "150-mile" } ]	Jerome rides a total of 12 x 12 = <<12*12=144>>144 miles in 12 days. So, he will ride 150 - 144 = <<150-144=6>>6 miles on the 13th day to finish his goal. #### 6
At Mario's barbershop haircuts are a certain number more expensive during the weekends. If Mario paid $18 for his last haircut on Monday, how much he would have paid the day before?	[ { "keywords": [ "haircuts", "are", "more", "expensive" ], "value": "50%" } ]	Mario's $18 cut on Monday would have been 50% more expensive on Sunday or $1850% = $<<1850*.01=9>>9 more expensive That means he would have paid $9 more on Sunday than what he paid ($18) on Monday or $9+$18 = $<<9+18=27>>27 #### 27
John throws a block party and splits the cost with a certain number other people. They buy a certain number pounds of burgers at $3 per pound. They also buy $80 of condiments and propane to cook everything. John also buys all the alcohol which costs $200. How much did John spend altogether	[ { "keywords": [ "cost", "with", "other", "people." ], "value": "3" }, { "keywords": [ "They", "buy", "pounds", "of" ], "value": "100" } ]	He splits the cost 3+1=<<3+1=4>>4 ways 100 pounds of burgers at $3 per pound makes 1003=$<<1003=300>>300 In addition to $80 for condiments and propane the total cost was 300+80=$<<300+80=380>>380 That means each of them paid 380/4=$<<380/4=95>>95 Then adding in the cost of alcohol, John spent 200+95=$<<200+95=295>>295 #### 295
Daniel has a collection of 346 video games. a certain number of them, Daniel bought for $12 each. Of the rest, a certain number were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection?	[ { "keywords": [ "the", "rest,", "were", "bought" ], "value": "50%" }, { "keywords": [ "video", "games.", "of", "them," ], "value": "80" } ]	On 80 games, Daniel spend 80 games * $12/game = $<<8012=960>>960. The rest of the collection is 346 games - 80 games = <<346-80=266>>266 games. 50% of these games means 50/100 266 games = <<50/100266=133>>133 games. Daniel bought them for $7 each, so he had to spend 133 games $7/game = $<<1337=931>>931 on them. The other 133 games were bought for $3 each, so they've cost him 133 games $3/game = $<<133*3=399>>399. On all games in total Daniel spent $960 + $931 + $399 = $<<960+931+399=2290>>2290. #### 2290
James joins a football team and becomes the star. He scores 4 touchdowns per game and each touchdown is worth 6 points. There are a certain number games in the season. He also manages to score 2 point conversions 6 times during the season. The old record was 300 points during the season. How many points did James beat the old record by?	[ { "keywords": [ "There", "are", "games", "in" ], "value": "15" } ]	He scored 46=<<46=24>>24 points per game So he scored 1524=<<1524=360>>360 points from touchdowns He also scored 26=<<26=12>>12 points from the 2 point conversions So he scored a total of 360+12=<<360+12=372>>372 points That means he beat the old record by 372-300=<<372-300=72>>72 points #### 72
On Monday Buddy has 30 baseball cards. On Tuesday Buddy loses half of them. On Wednesday Buddy buys a certain number baseball cards. On Thursday he buys a third of what he had on Tuesday. How many baseball cards does he have on Thursday?	[ { "keywords": [ "Buddy", "buys", "baseball", "cards." ], "value": "12" } ]	On Tuesday Buddy has 30/2 = <<30/2=15>>15 baseball cards. On Wednesday Buddy has 15+12 = <<15+12=27>>27 baseball cards. On Thursday Buddy buys 15/3 = <<15/3=5>>5 baseball cards. On Thursday Buddy has a total of 27+5 = <<27+5=32>>32 baseball cards. #### 32
Manex is a tour bus driver. He has to drive a certain number miles to the destination and drive going back to the starting point on a different way that is 10 miles farther. If he can drive 1 mile for a certain number minutes and stayed 2 hours at the destination, how long will it take the bus driver to do the entire tour in hours?	[ { "keywords": [ "mile", "for", "minutes", "and" ], "value": "2" }, { "keywords": [ "to", "drive", "miles", "to" ], "value": "55" } ]	The bus traveled 55 + 10 = <<55+10=65>>65 miles going back to the starting point. So, the bus traveled a total of 55 + 65 = <<55+65=120>>120 miles. It took 120 x 2 = <<120*2=240>>240 minutes to travel. Since there are 60 minutes in 1 hour, then the bus traveled for 240/60 = <<240/60=4>>4 hours. Therefore, the entire tour took 4 + 2 = <<4+2=6>>6 hours. #### 6
Grandpa Lou enjoys watching movies on the Hallmark channel, where every movie lasts 90 minutes. If, on Tuesday, he watched several full-length movies on the Hallmark channel for a total of a certain number hours and 30 minutes, and then on Wednesday he watched on the same channel twice as many movies as he did on Tuesday. What is the maximum number of full-length movies Grandpa could have watched during these two days?	[ { "keywords": [ "total", "of", "hours", "and" ], "value": "4" } ]	4 hours and 30 minutes is the same as 460+30=<<460+30=270>>270 minutes. At 90 minutes per movie, Grandpa could watch a total of 270/90=<<270/90=3>>3 entire movies in 4 hours and 30 minutes. On Wednesday, he watched 23=<<23=6>>6 movies. Thus, during these two days, he could have watched as many as 3+6=<<3+6=9>>9 movies. #### 9
Janet filmed a new movie that is a certain number longer than her previous 2-hour long movie. Her previous movie cost $50 per minute to film, and the newest movie cost twice as much per minute to film as the previous movie. What was the total amount of money required to film Janet's entire newest film?	[ { "keywords": [ "that", "is", "longer", "than" ], "value": "60%" } ]	The first movie was 260=<<260=120>>120 minutes So this movie is 120.6=<<120.6=72>>72 minutes longer So this movie is 192 minutes It also cost 502=$<<502=100>>100 per minute to film So it cost 192*100=$1920 #### 1920
Silvia’s bakery is offering 10% on advanced orders over $50.00. She orders 2 quiches for $15.00 each, a certain number croissants at $3.00 each and 6 buttermilk biscuits for $2.00 each. How much will her order be with the discount?	[ { "keywords": [ "$15.00", "each,", "croissants", "at" ], "value": "6" } ]	She orders 2 quiches for $15.00 each so they cost 215 = $<<215=30.00>>30.00 She orders 6 croissants at $3.00 each so they cost 62.5 = $<<63=18.00>>18.00 She orders 6 biscuits at $2.00 each so they cost 62 = $<<62=12.00>>12.00 Her advance order is 30+18+12 = $<<30+18+12=60.00>>60.00 Her advance order is over $50.00 so she can get 10% off so .10*60 = $6.00 Her order is $60.00 and she gets $6.00 off so her advanced order will cost 60-6=$<<60-6=54.00>>54.00 #### 54
Borris liquor store uses a certain number kilograms of grapes every a certain number months. He is thinking of increasing his production by twenty percent. How many grapes does he need in a year after increasing his production?	[ { "keywords": [ "grapes", "every", "months.", "He" ], "value": "6" }, { "keywords": [ "store", "uses", "kilograms", "of" ], "value": "90" } ]	Borris uses 90 x 2 = <<902=180>>180 kilograms of grapes per year. The increase of kilograms of grapes he needed per year is 180 x 0.20 = <<1800.20=36>>36. Therefore, Borris needs 180 + 36 = <<180+36=216>>216 kilograms of grapes in a year. #### 216
James collects all the fruits from his a certain number trees. Each tree has 20 plants. Each plant has 1 seed and he plants 60% of those. How many trees did he plant?	[ { "keywords": [ "from", "his", "trees.", "Each" ], "value": "2" } ]	He got 202=<<202=40>>40 seeds That means he plants 40.6=<<40.6=24>>24 trees #### 24
Kyle bought a certain number glass bottles that can hold 15 origami stars each. He then bought another 3 identical glass bottles. How many stars must Kyle make to fill all the glass bottles he bought?	[ { "keywords": [ "Kyle", "bought", "glass", "bottles" ], "value": "2" } ]	Kyle has 2 + 3 = <<2+3=5>>5 glass bottles. He needs to make 15 x 5 = <<15*5=75>>75 origami stars #### 75
Mark has two pets, a hare that runs a certain number0 feet/second and a turtle that crawls 1 foot/second. If they're going to run a a certain number foot-race, how much of a head start (in seconds) does the turtle need to finish in a tie?	[ { "keywords": [ "run", "a", "foot-race,", "how" ], "value": "20" }, { "keywords": [ "that", "crawls", "foot/second.", "If" ], "value": "1" } ]	We can find how long the hare spends running by dividing the distance of the race by the hare's speed: 20 feet / 10 feet/second = <<20/10=2>>2 seconds We can do the same for the turtle: 20 feet / 1 foot/second = <<20/1=20>>20 seconds Finally, subtract the hare's run time from the turtle's run time to find the length of the head start the turtle needs: 20 seconds - 2 seconds = <<20-2=18>>18 seconds #### 18
Conner has a dune buggy that he rides in the desert. On flat sand, it can ride at a speed of 60 miles per hour. When traveling on downhill slopes, it can race at a certain number miles per hour faster than it can when it is on flat sand. And when riding on an uphill inclined slow, it travels at a speed a certain number miles per hour slower than when it is riding on flat sand. If Conner rides his dune buggy one-third of the time on flat sand, one-third of the time on uphill slopes, and one-third of the time on downhill slopes, what is his average speed in miles per hour?	[ { "keywords": [ "a", "speed", "miles", "per" ], "value": "18" }, { "keywords": [ "race", "at", "miles", "per" ], "value": "12" } ]	12 mph faster than 60mph is 60+12=<<60+12=72>>72 mph. 18 mph slower than 60 mph is 60-18=<<60-18=42>>42 mph. If he spends 1/3 of the time at each of these three speeds, then he averages (60+72+42)/3 = <<(60+72+42)/3=58>>58 mph. #### 58
A store sells a certain number packets of a certain number grams of sugar every week. How many kilograms of sugar does it sell every week?	[ { "keywords": [ "packets", "of", "grams", "of" ], "value": "100" }, { "keywords": [ "store", "sells", "packets", "of" ], "value": "20" } ]	A total of 20 x 100 = <<20*100=2000>>2000 grams are sold every week. Since 1 kilogram is equal to 1000 grams, then 2000/1000 = <<2000/1000=2>>2 kilograms of sugar are sold every week. #### 2
James decides to replace his car. He sold his $20,000 car for a certain number of its value and then was able to haggle to buy a $30,000 sticker price car for a certain number of its value. How much was he out of pocket?	[ { "keywords": [ "car", "for", "of", "its" ], "value": "80%" }, { "keywords": [ "price", "car", "for", "of", "its" ], "value": "90%" } ]	He sold his car for 20000.8=$<<20000.8=16000>>16,000 He bought the new car for 30,000.9=$<<30000.9=27000>>27,000 That means he was out of pocket 27,000-16,000=$<<27000-16000=11000>>11,000 #### 11000
Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought a certain number pansies at $2.a certain number0 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?	[ { "keywords": [ "$12.50", "and", "petunias", "that" ], "value": "5" }, { "keywords": [ "He", "bought", "pansies", "at" ], "value": "5" } ]	5 pansies at $2.50 each is 52.50 = $<<52.5=12.50>>12.50 5 petunias at $1.00 each 51 = $<<51=5.00>>5.00 All total he spends 12.50+12.50+5.00 = $<<12.50+12.50+5.00=30.00>>30.00 The sale is 10% off so 30.10 = $<<30.10=3.00>>3.00 The purchase total now comes to 30-3 = $<<30-3=27.00>>27.00 He pays with a $50 bill so 50-27 = $<<50-27=23.00>>23.00 #### 23
Colton had 72 dolphin stickers. He gave 4 stickers each to a certain number friends. He also gave his friend Mandy 2 more than he gave his three friends total. And he gave Justin a certain number less than Mandy. How many stickers does Colton have left?	[ { "keywords": [ "each", "to", "friends.", "He" ], "value": "3" }, { "keywords": [ "gave", "Justin", "less", "than" ], "value": "10" } ]	Colton gave away 4 stickers * 3 friends = <<4*3=12>>12 stickers. Colton gave Mandy 2 + 12 stickers = <<2+12=14>>14 stickers. Colton gave Justin 14 stickers - 10 = <<14-10=4>>4 stickers. In total, Colton gave away 12 + 14 + 4 stickers = <<12+14+4=30>>30 stickers. Colton's number of total stickers at the end is 72 - 30 = <<72-30=42>>42 stickers. #### 42
A certain tree was 100 meters tall at the end of a certain number It will grow 10% more than its previous height each year. How long has the tree grown from 2017 until the end of 2019?	[ { "keywords": [ "end", "of", "It", "will" ], "value": "2017." } ]	At the end of 2018, the tree will grow 100 x 10/100 = <<10010/100=10>>10 meters more. Thus, its height at the end of 2018 is 100 + 10 = <<100+10=110>>110 meters. At the end of 2019, the tree will grow 110 x 10/100 = <<11010/100=11>>11 meters more. So, its height at the end of 2019 is 110 + 11 = <<110+11=121>>121 meters. Therefore, the tree has grown 121 - 100 = <<121-100=21>>21 meters. #### 21
Lisa and Carly go shopping together. Lisa spends $40 on t-shirts then spends half of this amount on jeans and twice this amount on coats. Carly spends only a quarter as much as Lisa on t-shirts but spends a certain number times as much on jeans and a quarter of the amount Lisa spent on coats. In dollars, how much did Lisa and Carly spend in total?	[ { "keywords": [ "but", "spends", "times", "as" ], "value": "3" } ]	Lisa spends $40 on t-shirts / 2 = $<<40/2=20>>20 on jeans. She also spends $40 on t-shirts * 2 = $<<402=80>>80 on coats. So Lisa has spent a total of 40 + 20 + 80 = $<<40+20+80=140>>140. Carly spends $40 / 4 = $<<40/4=10>>10 on t-shirts. She also spends $20 per pair of jeans 3 = $<<20*3=60>>60 on jeans. She then also spends $80 Lisa’s cost for coats / 4 = $<<80/4=20>>20 on coats. So Carly has spent a total of 10 + 60 + 20 = $<<10+60+20=90>>90. Lisa and Carly have therefore spent a total of 140 + 90 = $<<140+90=230>>230. #### 230
A small poultry farm has 300 chickens, a certain number turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and a certain number guinea fowls. After a week, how many birds will be left in the poultry?	[ { "keywords": [ "300", "chickens,", "turkeys", "and" ], "value": "200" }, { "keywords": [ "turkeys", "and", "guinea", "fowls." ], "value": "5" } ]	There are 300+200+80 = <<300+200+80=580>>580 birds in total Every day 20+8+5 = <<20+8+5=33>>33 birds are lost After a week which is 7 days, 337 = <<337=231>>231 birds would be lost There would be 580-231 = <<580-231=349>>349 birds left in the poultry #### 349
After tests in California, the total number of Coronavirus cases was recorded as a certain number positive cases on a particular day. The number of cases increased by 500 on the second day, with 50 recoveries. On the third day, the total number of new cases spiked to 1500 with 200 recoveries. What's the total number of positive cases after the third day?	[ { "keywords": [ "recorded", "as", "positive", "cases" ], "value": "2000" } ]	When 500 new cases were recorded after the tests, the total number of positive cases increased to 2000 cases + 500 cases = <<2000+500=2500>>2500 cases. With 50 recoveries, the total number of cases reduced to 2500 cases - 50 cases = <<2500-50=2450>>2450 cases. On the third day, with 1500 new cases, the total number of cases became 2450 cases + 1500 cases = <<2450+1500=3950>>3950 cases. If 200 people recovered from the virus, the total number of people with Coronavirus became 3950 cases - 200 cases = 3750 cases #### 3750
Caleb and his dad went fishing at the lake. Caleb caught a certain number trouts and his dad caught three times as much as Caleb. How many more trouts did his dad catch compared to Caleb?	[ { "keywords": [ "Caleb", "caught", "trouts", "and" ], "value": "2" } ]	Caleb’s dad caught 2 x 3 = <<2*3=6>>6 trouts. His dad caught 6 - 2 = <<6-2=4>>4 more trouts than Caleb. #### 4
Christina has a certain number snakes. 1 snake is 2 feet long. Another snake is a certain number inches long. The last snake is 10 inches long. How many inches are all of her snakes combined?	[ { "keywords": [ "Christina", "has", "snakes.", "1" ], "value": "3" }, { "keywords": [ "snake", "is", "inches", "long." ], "value": "16" } ]	The first snake is 24 inches because there are 12 inches in a foot. The snakes are 24+16+10= <<24+16+10=50>>50 inches long. #### 50
Madeline has 5 boxes with a certain number crayons in each. She noticed that 5/8 of the crayons in the a certain number boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?	[ { "keywords": [ "boxes", "with", "crayons", "in" ], "value": "24" }, { "keywords": [ "In", "the", "other", "boxes," ], "value": "2" } ]	Two boxes of crayons have 24 x 5/8 = <<245/8=15>>15 unused crayons from each box. So, a total of 15 x 2 = <<152=30>>30 unused crayons are in the two boxes. For the other 2 boxes, there are 24 x 2/3 = <<242/3=16>>16 used crayons from each box. Hence, there are 24 - 16 = <<24-16=8>>8 unused crayons. So, a total of 8 x 2 = <<82=16>>16 unused crayons are in the other two boxes. Therefore, Madeline has a total of 30 + 16 + 24 = <<30+16+24=70>>70 unused crayons. #### 70
Yesterday, David and William were invited to a party. David broke a certain number glasses, while his friend William broke a certain number times the number of glasses David broke. How many glasses were broken?	[ { "keywords": [ "William", "broke", "times", "the" ], "value": "4" }, { "keywords": [ "David", "broke", "glasses,", "while" ], "value": "2" } ]	William broke 4 * 2 = <<4*2=8>>8 glasses. So, David and William broke 8 + 2 = <<8+2=10>>10 glasses. #### 10
Thor is a certain number times older than Captain America. Captain America is 7 times older than Peter Parker, and Ironman is 32 years older than Peter Parker. How old is Ironman if Thor is 1456 years old?	[ { "keywords": [ "Thor", "is", "times", "older" ], "value": "13" } ]	Captain America is 1456/13 = <<1456/13=112>>112 years old Peter Parker is 112/ 7 = <<112/7=16>>16 years old Ironman is 16 + 32 = <<16+32=48>>48 years old #### 48
Last year Dallas was a certain number times the age of his sister Darcy. Darcy is twice as old as Dexter who is a certain number right now. How old is Dallas now?	[ { "keywords": [ "Dallas", "was", "times", "the" ], "value": "3" }, { "keywords": [ "who", "is", "right", "now." ], "value": "8" } ]	Darcy = 2Dexter = 28 = 16 Last year Darcy was 16 - 1 = <<16-1=15>>15 Dallas was 3 times Darcy last year = 315 = <<315=45>>45 Dallas is a year older now = 45 + 1 = <<45+1=46>>46 Dallas is 46 years old now. #### 46
In a section of the forest, there are a certain number weasels and 50 rabbits. Three foxes invade this region and hunt the rodents. Each fox catches an average of a certain number weasels and 2 rabbits per week. How many rabbits and weasels will be left after 3 weeks?	[ { "keywords": [ "average", "of", "weasels", "and" ], "value": "4" }, { "keywords": [ "there", "are", "weasels", "and" ], "value": "100" } ]	3 foxes catch 4 weasels each every week for a total of 34 = <<34=12>>12 weasels 12 weasels are caught every week for 3 weeks for a total of 123 = <<123=36>>36 weasels 3 foxes catch 2 rabbits each every week for a total of 32 = <<32=6>>6 rabbits 6 rabbits are caught every week for 3 weeks for a total of 63 = <<63=18>>18 rabbits There were originally 100 weasels so now there are 100-36 = <<100-36=64>>64 weasels left There were originally 50 rabbits so now there are 50-18 = <<50-18=32>>32 rabbits left There are 64+32 = <<64+32=96>>96 weasels and rabbits left #### 96
Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold a certain number iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today?	[ { "keywords": [ "also", "sold", "iPads", "for" ], "value": "20" } ]	The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $<<1001000=100000>>100,000 The sales for iPads today were 20 iPads $900 per iPad = $<<20900=18000>>18,000 The sales for Apple TV’s today were 80 $200 = $<<80*200=16000>>16,000 The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $<<100000+18000+16000=134000>>134,000 The total number of products sold was 100 + 20 + 80 = <<100+20+80=200>>200 The average cost per product sold was $134,000 total sales / 200 total products = $<<134000/200=670>>670 #### 670
Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were a certain number inches tall, how tall were the sunflowers from Packet B?	[ { "keywords": [ "A", "were", "inches", "tall," ], "value": "192" } ]	The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. #### 160
Mr. Grey is purchasing gifts for his family. So far he has purchased 3 polo shirts for $a certain number6 each; 2 necklaces for $83 each; and 1 computer game for $90. Since Mr. Grey purchased all those using his credit card, he received a $12 rebate. What is the total cost of the gifts after the rebate?	[ { "keywords": [ "$26", "each;", "necklaces", "for" ], "value": "2" } ]	Mr. Grey paid $26/shirt x 3 shirts = $<<263=78>>78 on polo shirts. He paid $83/necklace x 2 necklaces = $<<832=166>>166 on necklaces. So, he paid $78 + $166 + $90 = $<<78+166+90=334>>334 for the gifts. After the rebate, the total cost of the gifts is now $334 - $12 = $<<334-12=322>>322. #### 322
Mary bought 5 boxes of drinks at $6 each box and a certain number boxes of pizzas at $14 each box for her pizza party. She paid $200 for all the items. How much change did she get back?	[ { "keywords": [ "box", "and", "boxes", "of" ], "value": "10" } ]	Mary spent 5 x $6 = $<<56=30>>30 on drinks. She spent 10 x $14 = $<<1014=140>>140 on pizzas. She spent a total amount of $30 + $140 = $<<30+140=170>>170. Therefore, Mary got a change of $200 - $170 = $<<200-170=30>>30 after paying all the items for her pizza party. #### 30
Herbert is a certain number years younger than Kris. If Kris is a certain number years old now, how old will Herbert be next year?	[ { "keywords": [ "Kris", "is", "years", "old" ], "value": "24" }, { "keywords": [ "Herbert", "is", "years", "younger" ], "value": "10" } ]	Herbert is 24 - 10 = <<24-10=14>>14 years old now. Thus, Herbert will be 14 + 1 = <<14+1=15>>15 years old next year. #### 15
There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 a certain number rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover?	[ { "keywords": [ "half", "eat", "a", "roll" ], "value": "1/2" } ]	Half the people at the party is 16 / 2 = <<16/2=8>>8 people. 8 people at the party eat 1 1/2 rolls each, 8 x 1 1/2 = 12 dinner rolls eaten. 8 people at the party eat 1/2 a roll each, 8 x 1/2 = <<8*1/2=4>>4 dinner rolls eaten. Combined, the people at the party ate 12 + 4 = <<12+4=16>>16 dinner rolls. There were originally 40 dinner rolls - 16 that got eaten = <<40-16=24>>24 dinner rolls leftover. #### 24
Rosie runs 6 miles per hour. She runs for a certain number hour on Monday, 30 minutes on Tuesday, 1 hour on Wednesday, and 20 minutes on Thursday. If she wants to run 20 miles for the week, how many minutes should she run on Friday?	[ { "keywords": [ "on", "Tuesday,", "hour", "on" ], "value": "1" } ]	On Monday and Wednesday, Rosie runs 61= <<61=6>>6 miles. On Tuesday, Rosie runs 6(30 minutes/60 minutes) = <<6(30/60)=3>>3 miles. On Thursday, Rosie runs 6(20 minutes/60 minutes)=<<6(20/60)=2>>2 miles. So far this week Rosie has run 6+3+6+2=<<6+3+6+2=17>>17 miles. To reach her goal, she must run 20-17=<<20-17=3>>3 miles on Friday. Thus, she should run for 6/3=.5 hour which is 30 minutes. #### 30
Gary bought his first used car for $6,000. Gary borrowed the money from his dad who said he could pay him back the full amount over 5 years. Gary decided he would pay his dad back the full amount in 2 years. How much more is Gary spending per month to pay the loan off in 2 years instead of a certain number	[ { "keywords": [ "instead", "of" ], "value": "5?" } ]	A full year has 12 months. So 2 years is 212 = <<212=24>>24 months The loan amount is $6,000 that he will repay in 24 months so 6000/24 = $<<6000/24=250>>250 per month If he paid his dad back in 5 years that 512 = <<512=60>>60 months $6,000 loan spread out over 60 months is 6000/60 = $<<6000/60=100>>100 per month To pay it off in 2 years instead of 5, Gary is paying 250-100 = $<<250-100=150>>150 more per month #### 150
Sansa is a famous artist, she can draw a portrait and sell it according to its size. She sells an 8-inch portrait for $5, and a a certain number portrait for twice the price of the 8-inch portrait. If she sells three 8-inch portraits and five 16-inch portraits per day, how many does she earns every 3 days?	[ { "keywords": [ "and", "five", "portraits", "per" ], "value": "16-inch" } ]	Sansa earns $5 x 3 = $<<53=15>>15 every day by selling three 8-inch portraits. The price of the 16-inch portrait is $5 x 2 = $<<52=10>>10 each. So, she earns $10 x 5 = $<<105=50>>50 every day by selling five 16-inch portraits. Her total earnings is $50 + $15 = $<<50+15=65>>65 every day. Therefore, the total amount she earns after 3 days is $65 x 3 = $<<653=195>>195. #### 195
Archibald eats 1 apple a day for two weeks. Over the next three weeks, he eats the same number of apples as the total of the first two weeks. Over the next two weeks, he eats a certain number apples a day. Over these 7 weeks, how many apples does he average a week?	[ { "keywords": [ "he", "eats", "apples", "a" ], "value": "3" } ]	He ate 14 apples the first two weeks because 14 x 1 = 14 He ate 14 apples in the next three weeks because 14 = <<14=14>>14 He ate 42 apples in the final two weeks because 14 x 3 = <<14*3=42>>42 He ate 70 apples in total. He averaged 10 apples a week because 70 / 7 = <<70/7=10>>10 #### 10
Susie has $200 in her piggy bank. If she puts a certain number more money into her piggy bank, how much money she will have?	[ { "keywords": [ "she", "puts", "more", "money" ], "value": "20%" } ]	If Susie puts 20% more money into her piggy bank, she'll have 20/100200 = $<<20/100200=40>>40 more in her piggy bank. The total amount of money in Susie's piggy bank will increase to $200+$40=$<<200+40=240>>240 #### 240
Benny bought a certain number soft drinks for$ 4 each and 5 candy bars. He spent a total of a certain number dollars. How much did each candy bar cost?	[ { "keywords": [ "Benny", "bought", "soft", "drinks" ], "value": "2" }, { "keywords": [ "total", "of", "dollars.", "How" ], "value": "28" } ]	Benny spent 2 * $4 = $<<2*4=8>>8 on soft drinks. Benny spent a total of $28 - $8 on soft drinks = $<<28-8=20>>20 on candy bars. Benny spent $20 / 5 candy bars = $<<20/5=4>>4 for each candy bar. #### 4
Jack has a stack of books that is 12 inches thick. He knows from experience that a certain number pages is one inch thick. If he has a certain number books, how many pages is each one on average?	[ { "keywords": [ "he", "has", "books,", "how" ], "value": "6" }, { "keywords": [ "experience", "that", "pages", "is" ], "value": "80" } ]	There are 960 pages because 80 x 12 = <<80*12=960>>960 Each book is 160 pages because 960 / 6 = <<960/6=160>>160 #### 160
Wickham is throwing a huge Christmas party. He invites a certain number people. Everyone attends the party, and half of the guests bring a plus one (one other person). He plans to serve a 3-course meal for the guests. If he uses a new plate for every course, how many plates does he need in total for his guests?	[ { "keywords": [ "He", "invites", "people.", "Everyone" ], "value": "30" } ]	The number of guests that bring a plus one is 30 / 2 = <<30/2=15>>15 guests The total number of guests at the party, including the plus ones, is 30 + 15 = <<30+15=45>>45 guests Since there are 3 courses, Wickham will need 45 * 3 = <<45*3=135>>135 plates #### 135
There are some lions in Londolozi at first. Lion cubs are born at the rate of 5 per month and lions die at the rate of a certain number per month. If there are a certain number lions in Londolozi after 1 year, how many lions were there in Londolozi at first?	[ { "keywords": [ "there", "are", "lions", "in" ], "value": "148" }, { "keywords": [ "Londolozi", "after", "year,", "how" ], "value": "1" } ]	There are 5-1=<<5-1=4>>4 more lions each month. There will be 412=<<412=48>>48 more lions after 1 year. There were 148-48=<<148-48=100>>100 lions in Londolozi at first. #### 100
John volunteers at a shelter twice a month for a certain number hours at a time. How many hours does he volunteer per year?	[ { "keywords": [ "month", "for", "hours", "at" ], "value": "3" } ]	He volunteers 212=<<212=24>>24 times a year So he volunteers for 243=<<243=72>>72 hours #### 72
John puts $a certain number5 in his piggy bank every month for 2 years to save up for a vacation. He had to spend $400 from his piggy bank savings last week to repair his car. How many dollars are left in his piggy bank?	[ { "keywords": [ "month", "for", "years", "to" ], "value": "2" } ]	He saved money for 2 years, which is equal to 12 x 2 = <<122=24>>24 months. The amount of money he saved is $2524 = $<<25*24=600>>600. But he spent some money so there is $600 - $400 = <<600-400=200>>200 left. #### 200
Five coaster vans are used to transport students for their field trip. Each van carries a certain number students, a certain number of which are boys. How many are girls?	[ { "keywords": [ "28", "students,", "of", "which" ], "value": "60" }, { "keywords": [ "van", "carries", "students,", "60" ], "value": "28" } ]	There are a total of 5 vans x 28 students = <<5*28=140>>140 students. If 60 are boys, then 140 - 60 = <<140-60=80>>80 of these students are girls. #### 80
Bobby has a certain number toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?	[ { "keywords": [ "Bobby", "has", "toy", "cars," ], "value": "16" } ]	In the first year, Bobby will acquire 16 * .5 = <<16.5=8>>8 new cars. After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars. In the second year, Bobby will acquire 24 .5 = <<24.5=12>>12 new cars. After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total. In the third year, Bobby will acquire 36 .5 = <<36*.5=18>>18 new cars. After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total. #### 54
Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by a certain number food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to last year?	[ { "keywords": [ "up", "by", "food", "costs" ], "value": "30%," } ]	First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $<<1000.3=300>>300 Then find the food cost increase by multiplying last year's costs by 50%: $200 .5 = $<<200.5=100>>100 Then find the new car insurance price by multiplying last year's price by 3: $100 3 = $<<1003=300>>300 Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $<<300-100=200>>200 Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $<<300+100+200=600>>600 Now multiply the increase per month by the number of months in a year to find the annual increase: $600/month 12 months/year = $<<600*12=7200>>7200/year #### 7200
Randy just turned a certain number and started playing the piano. His friend Sheila told him about the a certain number-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?	[ { "keywords": [ "just", "turned", "and", "started" ], "value": "12" }, { "keywords": [ "says,", "after", "hours", "of" ], "value": "10,000" } ]	Randy has 20 – 12 = <<20-12=8>>8 years until he is 20. He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert. There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy. Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year. Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day. #### 5
Mike and Ted planted tomatoes. In the morning, Mike planted a certain number tomato seeds while Ted planted twice as much as Mike. In the afternoon, Mike planted 60 tomato seeds while Ted planted a certain number fewer tomato seeds than Mike. How many tomato seeds did they plant altogether?	[ { "keywords": [ "Ted", "planted", "fewer", "tomato" ], "value": "20" }, { "keywords": [ "Mike", "planted", "tomato", "seeds" ], "value": "50" } ]	Ted planted 2 x 50 = <<2*50=100>>100 tomato seeds. So, Mike and Ted planted 50 + 100 = <<50+100=150>>150 tomato seeds in the morning. In the afternoon, Ted planted 60 - 20 = <<60-20=40>>40 seeds. Thus, Mike and Ted planted 60 + 40 = <<60+40=100>>100 tomato seeds in the afternoon. Therefore, they planted 150 + 100 = <<150+100=250>>250 tomato seed altogether. #### 250
In 6 months Bella and Bob will be celebrating their a certain number anniversary. How many months ago did they celebrate their a certain number anniversary?	[ { "keywords": [ "celebrate", "their", "anniversary?" ], "value": "2nd" }, { "keywords": [ "celebrating", "their", "anniversary.", "How" ], "value": "4th" } ]	First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 412=<<412=48>>48 months Then, we subtract their 6 month difference, finding they are at 48-6=<<48-6=42>>42 months into their relationship. Since 2 years would be 212=<<212=24>>24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= <<42-24=18>>18 months #### 18
A church has a certain number members. 40% are adults. The rest are children. How many children more children are there than adults?	[ { "keywords": [ "church", "has", "members.", "40%" ], "value": "120" } ]	There are 48 adults because 120 x .4 = <<120.4=48>>48 60% of members are children because 100 - 40 = <<100-40=60>>60 There are 72 children because 120 x .6 = <<120.6=72>>72 There are 24 more children than adults because 72 - 48 = <<72-48=24>>24 #### 24
Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After a certain number years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?	[ { "keywords": [ "bank.", "After", "years,", "the" ], "value": "4" } ]	We let x be the amount of money she put in the bank the first year, Then the second year was 2x, and the third year was 22x=4x, and the fourth year was 222x=8x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x+(2x)+(4x)+(8x). This simplifies to $450=15x. And therefore, the amount of money she put in the bank the first year was x=$<<30=30>>30. #### 30
By the time Anne is two times as old as Emile, Emile will be six times as old as Maude. If Maude will be a certain number years old, how old will Anne be?	[ { "keywords": [ "will", "be", "years", "old," ], "value": "8" } ]	If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 68 = 48 years. If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 248 = <<48*2=96>>96 years. #### 96
Ravi has some coins. He has 2 more quarters than nickels and a certain number more dimes than quarters. If he has a certain number nickels, how much money does he have?	[ { "keywords": [ "nickels", "and", "more", "dimes" ], "value": "4" }, { "keywords": [ "he", "has", "nickels,", "how" ], "value": "6" } ]	Ravi has 6 + 2 = <<6+2=8>>8 quarters. He has also 8 + 4 = <<8+4=12>>12 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<65=30>>30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<825=200>>200 cents. A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents. therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents. #### 350
Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten a certain number hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?	[ { "keywords": [ "has", "eaten", "hotdogs.", "How" ], "value": "20" } ]	Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win. #### 11
A car uses 20 gallons of gas to travel 400 miles. Mr. Montero's car has a certain number gallons in it. How many more gallons of gas does he need to travel a certain number miles, back and forth?	[ { "keywords": [ "to", "travel", "miles,", "back" ], "value": "600" }, { "keywords": [ "car", "has", "gallons", "in" ], "value": "8" } ]	Mr. Montero is traveling a total distance of 600 miles + 600 miles = <<600+600=1200>>1200 miles. There are 1200 miles / 400 miles = <<1200/400=3>>3 sets of 400 miles in 1200 miles. So Mr. Montero needs 20 gallons/set x 3 sets = <<20*3=60>>60 gallons in all. Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = <<60-8=52>>52 gallons more. #### 52

There are some jelly beans in a jar. Three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored. If a certain number jelly beans are coconut flavored, how many jelly beans are there in the jar?

[ { "keywords": [ "flavored.", "If", "jelly", "beans" ], "value": "750" } ]

There are 750*4=<<750*4=3000>>3000 red jelly beans. There are 3000/3*4=<<3000/3*4=4000>>4000 jelly beans in the jar. #### 4000

Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has twice as many job applications as rebates to mail. How many stamps does she need if everything needs a certain number stamp except the electric bill, which needs 2?

[ { "keywords": [ "everything", "needs", "stamp", "except" ], "value": "1" } ]

Valerie has to send a thank you card to each of 3 people, so she has 3 * 1 = <<3*1=3>>3 thank you cards to mail. She has 2 bills to mail. She has 3 more rebates than bills, so 3 + 2 = <<3+2=5>>5 mail-in rebates to mail. She has twice as many job applications as rebates, so she has 2 * 5 = <<2*5=10>>10 applications to mail. She has 3 + 2 + 5 + 10 = <<3+2+5+10=20>>20 pieces of mail to send. The electric bill needs an extra stamp, so she needs 20 + 1 = <<20+1=21>>21 stamps. #### 21

An aquarium holds an equal number of clownfish and blowfish. 26 of the blowfish stay in their own tank, and the remaining blowfish swim into a display tank. An equal number of clownfish join the blowfish in the display tank, but then a third of these clownfish swim back into their own tank. If the aquarium holds a combined total of a certain number fish, how many clownfish are now in the display tank?

[ { "keywords": [ "total", "of", "fish,", "how" ], "value": "100" } ]

There is an equal number of clownfish and blowfish, which means there are 100 fish / 2 = <<100/2=50>>50 blowfish. Since some stay in their tanks, there are 50 blowfish – 26 blowfish = <<50-26=24>>24 blowfish in the display tank. There were the same amount of clownfish until 24 clownfish / 3 = <<24/3=8>>8 clownfish swam back to their own tank. This leaves 24 clownfish – 8 clownfish = <<24-8=16>>16 clownfish in the display tank. #### 16

Jeanette is practicing her juggling. Each week she can juggle a certain number more objects than the week before. If she starts out juggling 3 objects and practices for a certain number weeks, how many objects can she juggle?

[ { "keywords": [ "practices", "for", "weeks,", "how" ], "value": "5" }, { "keywords": [ "can", "juggle", "more", "objects" ], "value": "2" } ]

First find the total number of additional objects she learns to juggle: 2 objects/week * 5 weeks = <<2*5=10>>10 objects Then add the initial number of objects she could juggle to find the total: 10 objects + 3 objects = <<10+3=13>>13 objects #### 13

Jessa needs to make cupcakes for 3 fourth-grade classes that each have 30 students and a P.E. class with a certain number students. How many cupcakes does she need to make?

[ { "keywords": [ "class", "with", "students.", "How" ], "value": "50" } ]

For the fourth-grade classes, Jessa needs 3 classes * 30 cupcakes/class = <<3*30=90>>90 cupcakes Adding the cupcakes for the P.E. class 50, she needs to make a total of 90 cupcakes + 50 cupcakes = <<90+50=140>>140 cupcakes #### 140

Carrie works for $8 an hour and a certain number hours a week at her job. It’s been a month since she started working there. She has saved up all of her money because she wants to buy a bike for $400. How much money will she have left over after she buys her bike?

[ { "keywords": [ "hour", "and", "hours", "a" ], "value": "35" } ]

It will be easy to solve the problem by first calculating how much money she makes in a week at her job by multiplying her hourly rate by the number of hours she works in a week: $8 * 35 = $<<8*35=280>>280 in a week The weekly earnings need to be multiplied by the number of weeks in a month to get how much she made in a month: $280 * 4 = $<<280*4=1120>>1120 The bike’s cost must be subtracted from her earnings made in a month to get how much money is left over after purchasing the bike: $1120 - $400 = $<<1120-400=720>>720 is left over after purchasing her bike #### 720

Stella and Twinkle are filling up a truck with a capacity of a certain number000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?

[ { "keywords": [ "joined", "by", "other", "people" ], "value": "6" }, { "keywords": [ "capacity", "of", "stone", "blocks" ], "value": "6000" } ]

Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2*250 = <<250*2=500>>500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4*500 = <<4*500=2000>>2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000-2000 = <<6000-2000=4000>>4000 When 6 more people joined Stella and Twinkle, a total of 2+6 = <<2+6=8>>8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 250*8 = <<250*8=2000>>2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000/2000 = <<4000/2000=2>>2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4+2 = <<4+2=6>>6 hours. #### 6

In a conference room, 40 chairs with a capacity of a certain number people each were arranged in rows in preparation for the board meeting of a company, whose number of members was the same as the chairs' capacity. If a certain number of the chairs were not occupied, and the rest each had two people, calculate the number of board members who did attend the meeting.

[ { "keywords": [ "capacity.", "If", "of", "the" ], "value": "2/5" }, { "keywords": [ "capacity", "of", "people", "each" ], "value": "2" } ]

The total capacity of the 40 chairs was 40*2=<<40*2=80>>80 people. If 2/5 of the chairs were unoccupied, 2/5*80=<<2/5*80=32>>32 people missed the board meeting since the number of members was the same as the chair's capacity. The number of board members who attended the meeting was 80-32=<<80-32=48>>48 #### 48

A bulk warehouse is offering a certain number cans of sparkling water for $a certain number.00 a case. The local grocery store is offering the same sparkling water for $6.00 and it only has 12 cans. How much more expensive, per can, in cents, is this deal at the grocery store?

[ { "keywords": [ "only", "has", "cans.", "How" ], "value": "12" }, { "keywords": [ "is", "offering", "cans", "of" ], "value": "48" } ]

The bulk warehouse has 48 cans for $12.00 so that's 12/48 = $0.25 a can The local grocery store has 12 cans for $6.00 so that's 6/12 = $0.50 a can The grocery store offer is $0.50 a can and the warehouse is $0.25 a can so the grocery store is .50-.25 = $<<0.50-.25=0.25>>0.25 more expensive per can #### 25

Joy is winding balls of yarn for her cat to play with. The first ball is half the size of the second ball. The third ball is three times as large as the first ball. She used a certain number feet of yarn for the third ball. How many feet of yarn did she use for the second ball?

[ { "keywords": [ "She", "used", "feet", "of" ], "value": "27" } ]

The first ball is a third of the size of the third ball, so it used 27 / 3 = <<27/3=9>>9 feet of yarn. The second ball is twice the size of the first ball, so she used 9 * 2 = <<9*2=18>>18 feet of yarn. #### 18

Haley grows at the rate of a certain number inches every year. If she is currently 20 inches tall, what will be her height after 10 years?

[ { "keywords": [ "rate", "of", "inches", "every" ], "value": "3" } ]

After 10 years, growing at the rate of 3 inches every year, Haley will have grown by 3*10 = <<3*10=30>>30 inches. If she is currently 20 inches tall, her height after 10 years will be 20+30 = <<20+30=50>>50 inches. #### 50

John has five more roommates than twice as many as Bob. If Bob has a certain number roommates, how many roommates does John have?

[ { "keywords": [ "Bob", "has", "roommates,", "how" ], "value": "10" } ]

Twice ten roommates is 2*10 = <<2*10=20>>20 John has 5 more than 20 roommates which is 20+5 = <<5+20=25>>25 roommates #### 25

Three cats sat on a fence, meowing at the moon. The first cat meowed 3 times per minute. The second cat meowed twice as frequently as the first cat. And the third cat meowed at one-third the frequency of the second cat. What is the combined total number of meows the three cats make in a certain number minutes?

[ { "keywords": [ "make", "in", "minutes?" ], "value": "5" } ]

The second cat meowed twice as frequently as the three meows per minute from the first cat, for a total of 2*3=<<2*3=6>>6 meows per minute. The third cat meowed at one-third the frequency of the second cat, for a total of 6/3=<<6/3=2>>2 meows per minute. Thus, combined, the three cats meow 3+6+2=<<3+6+2=11>>11 times per minute. In five minutes, the three cats meow 5*11=<<5*11=55>>55 times. #### 55

A school principal is booking hotel rooms for a class of a certain number students to stay at during an overnight field trip. Each of the hotel's rooms has two queen size beds, which can fit two students each, and a pull-out couch, which can fit one student. How many rooms does the principal need to book to fit all of the students in the class?

[ { "keywords": [ "class", "of", "students", "to" ], "value": "30" } ]

Each room can fit 2*2 + 1 = <<2*2+1=5>>5 students. Thus, the principal needs to book 30/5 = <<30/5=6>>6 rooms to fit everyone. #### 6

Ali had a collection of seashells. He started with 180 seashells. He then gave away a certain number seashells to his friends. He also gave a certain number seashells to his brothers. If he sold half of the remaining seashells, how many seashells did he have left?

[ { "keywords": [ "gave", "away", "seashells", "to" ], "value": "40" }, { "keywords": [ "also", "gave", "seashells", "to" ], "value": "30" } ]

When he gave 40 seashells to his friends, Ali had 180-40= <<180-40=140>>140 seashells. When he gave another 30 seashells to his brothers, he had 140-30 = <<140-30=110>>110 seashells He also sold half of the seashells, a total of 1/2*110 = <<55=55>>55 seashells He was left with 110-55= <<110-55=55>>55 seashells #### 55

Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked a certain number Mitchell had read 20 pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didn't read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter in the book had 40 pages, calculate the total number of pages that Mitchell had read altogether?

[ { "keywords": [ "it", "clocked", "Mitchell", "had" ], "value": "4," } ]

Since each chapter of the book has 40 pages, Mitchell had read 10*40 = <<10*40=400>>400 pages from the first ten chapters. After reading 20 pages of the eleventh chapter, the total number of pages that Mitchell had read is 400+20 = <<400+20=420>>420 The next two chapters that she read had 2*40 = <<2*40=80>>80 pages. In total, Mitchell read 420+80 = <<420+80=500>>500 pages of the book that day. #### 500

James buys 5 packs of beef that are a certain number pounds each. The price of beef is $5.50 per pound. How much did he pay?

[ { "keywords": [ "that", "are", "pounds", "each." ], "value": "4" } ]

He bought 5*4=<<5*4=20>>20 pounds of beef So he paid 20*5.5=$<<20*5.5=110>>110 #### 110

There are a certain number students in a class. If a certain number are absent, 3/4 of the students who are present are in the classroom, and the rest are in the canteen, how many students are in the canteen?

[ { "keywords": [ "class.", "If", "are", "absent," ], "value": "1/10" }, { "keywords": [ "There", "are", "students", "in" ], "value": "40" } ]

Out of the 40, 40 x 1/10 = <<40*1/10=4>>4 students are absent. So, 40 - 4 = <<40-4=36>>36 students are present in school. Out of the 36, 36 x 3/4 = <<36*3/4=27>>27 students are in the classroom. This means, 36 - 27 = <<36-27=9>>9 students are in the canteen. #### 9

A couple with two children, ages 6 and 10 years old, decided to go to an amusement park. The regular ticket costs $109, but children below a certain number years old have a $5 discount. If they gave the cashier $500, how much change will they receive?

[ { "keywords": [ "children", "below", "years", "old" ], "value": "12" } ]

The ticket costs 109 - 5 = $<<109-5=104>>104 for each child. So the ticket cost of the two children is 104 x 2 = $<<104*2=208>>208. The couple needs to pay the regular price, so it's 109 x 2 = $<<109*2=218>>218. Thus, the family needs to pay a total of 208 + 218 = $<<208+218=426>>426. Therefore, their change is 500 - 426 = $<<500-426=74>>74. #### 74

Kennedy's house is a certain number square feet larger than 4 times Benedict's house. If Kennedy's house is 10000 square feet, how many square feet is Benedict's house?

[ { "keywords": [ "house", "is", "square", "feet" ], "value": "600" } ]

Let the number of square feet in Benedict's house be x. So, we can write the equation 4 * x + 600 = 10000. Subtracting 600 from both sides we get 4 * x = 9400 Dividing both sides by 4 we get x = 2350 square feet. #### 2350

Loraine makes wax sculptures of animals. Large animals take four sticks of wax and small animals take two sticks. She made three times as many small animals as large animals, and she used a certain number sticks of wax for small animals. How many sticks of wax did Loraine use to make all the animals?

[ { "keywords": [ "she", "used", "sticks", "of" ], "value": "12" } ]

Loraine made 12 / 2 = <<12/2=6>>6 small animals. She made 6 / 3 = <<6/3=2>>2 large animals. She used 2 * 4 = <<2*4=8>>8 sticks of wax on large animals. Therefore, Loraine used 12 + 8 = <<12+8=20>>20 sticks of wax for all the animals. #### 20

3 families of 4 people shared a vacation rental for a certain number days. Everyone uses 1 oversized beach towel a day before getting a new one. The washing machine can hold a certain number oversized beach towels per load. How many loads of laundry will it take to wash all the oversized beach towels?

[ { "keywords": [ "rental", "for", "days.", "Everyone" ], "value": "7" }, { "keywords": [ "can", "hold", "oversized", "beach" ], "value": "14" } ]

There are 3 families of 4 meaning there are 3*4 =<<3*4=12>>12 people in the vacation rental They all use 1 oversized beach towel a day so they use 1*12 = <<1*12=12>>12 towels a day They use 12 towels a day for 7 days so in one week they use 12*7 = <<12*7=84>>84 beach towels The washing machine can only hold 14 towels and they have 84 towels to wash which means there are 84/14 =<<84/14=6>>6 loads of laundry #### 6

A gallon of whole milk that normally costs $a certain number is now sold at $2. A box of cereal was sold at a discount of $1. How much will you save via discounts if you buy 3 gallons of whole milk and a certain number boxes of cereal?

[ { "keywords": [ "you", "buy", "gallons", "of" ], "value": "3" }, { "keywords": [ "milk", "and", "boxes", "of" ], "value": "5" } ]

The discount for each gallon of whole milk is $3 - $2 = $<<3-2=1>>1. So the discount for 3 gallons of whole milk is $1/gallon x 3 gallons = $<<1*3=3>>3. The total discount for 5 boxes of cereal is $1/box x 5 boxes = $<<1*5=5>>5. You will save $3 + $5 = $<<3+5=8>>8 for 3 gallons of whole milk and 5 boxes of cereal. #### 8

Janice's office is on the third floor, and she has to walk up a certain number flights of stairs to get to her office. In a single day, she goes up the three flights of stairs 5 times, down the the three flights of stairs 3 times, and uses the elevator the remainder of the time. How many flights of stairs does Janice walk (up and down) in a single day?

[ { "keywords": [ "walk", "up", "flights", "of" ], "value": "3" } ]

Janice walks up 3 flights of stairs 5 times per day, for a total of 3*5 = <<3*5=15>>15 flights of stairs Janice walks down 3 flights of stairs 3 times per day, for a total of 3*3 = <<3*3=9>>9 flights of stairs In total, she walks 15+9=<<15+9=24>>24 flights of stairs in a single day #### 24

Fern is checking IDs to get into an R-rated movie. She denied 20% of the a certain number kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie?

[ { "keywords": [ "of", "the", "kids", "from" ], "value": "120" } ]

First find how many kids from Riverside High are rejected: 20% * 120 kids = <<20*.01*120=24>>24 kids Then find how many kids from West Side High are rejected: 70% * 90 kids = <<70*.01*90=63>>63 kids Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = <<50/2=25>>25 kids Then add the number of kids from each school to find the total number of kids: 120 kids + 90 kids + 50 kids = <<120+90+50=260>>260 kids Then subtract all the kids who were rejected from the total number of kids to find the number who got in: 260 kids - 24 kids - 63 kids - 25 kids = <<260-24-63-25=148>>148 kids #### 148

A cleaning company produces two sanitizer sprays. One spray kills 50% of germs, and another spray kills 2a certain number of germs. However, 5% of the germs they kill are the same ones. What percentage of germs would be left after using both sanitizer sprays together?

[ { "keywords": [ "germs.", "However,", "of", "the" ], "value": "5%" }, { "keywords": [ "spray", "kills", "of", "germs." ], "value": "25%" } ]

After the first spray kills 50% of germs, there will be 100 - 50 = <<100-50=50>>50% left. The second spray kills 25%, but 5% have already been killed by the 50% spray, so it kills 25 - 5 = <<25-5=20>>20%. After the second spray kills 20% of the remaining germs, there will be 50 - 20 = <<50-20=30>>30% left. #### 30

Toby is counting goldfish in the local pond. He knows that only a certain number of goldfish are at the surface and the rest are too deep below the surface to be able to see. If he counts a certain number goldfish, how many are below the surface?

[ { "keywords": [ "that", "only", "of", "goldfish" ], "value": "25%" }, { "keywords": [ "he", "counts", "goldfish,", "how" ], "value": "15" } ]

There are 60 goldfish because 15 / .25 = <<15/.25=60>>60 75% of the fish are below the surface because 100 - 25 = <<100-25=75>>75 There are 45 goldfish below the surface because 60 x .75 = <<60*.75=45>>45 #### 45

The owner of a Turkish restaurant wanted to prepare traditional dishes for an upcoming celebration. She ordered ground beef, in four-pound packages, from three different butchers. The following morning, the first butcher delivered a certain number packages. A couple of hours later, a certain number packages arrived from the second butcher. Finally, the third butcher’s delivery arrived at dusk. If all the ground beef delivered by the three butchers weighed 100 pounds, how many packages did the third butcher deliver?

[ { "keywords": [ "butcher", "delivered", "packages.", "A" ], "value": "10" }, { "keywords": [ "hours", "later,", "packages", "arrived" ], "value": "7" } ]

Since each package weighed 4 pounds, the first butcher delivered 10 * 4 = <<10*4=40>>40 pounds The second butcher's delivery was 7 * 4 = <<7*4=28>>28 pounds The first two butchers therefore delivered 40 + 28 = <<40+28=68>>68 pounds Subtracting that weight from the total weight of ground beef gives 100 - 68 = <<100-68=32>>32 pounds It therefore means the third butcher delivered 32/4 = <<32/4=8>>8 packages. #### 8

James watched a certain number episodes of Jeopardy and 2 episodes of Wheel of Fortune. Jeopardy is 20 minutes and Wheel of Fortune is twice as long. How many hours did he watch TV?

[ { "keywords": [ "James", "watched", "episodes", "of" ], "value": "2" } ]

He watched 2*20=<<2*20=40>>40 minutes of Jeopardy. Wheel of Fortune is 2*20=<<2*20=40>>40 minutes each. So he watched it for 40*2=<<40*2=80>>80 minutes. So he watched 40+80=<<40+80=120>>120 minutes of TV. That means he watched 120/60=<<120/60=2>>2 hours of TV. #### 2

Richard can clean his room in 22 minutes. Cory takes a certain number minutes more than Richard to clean her room while Blake can clean his room a certain number minutes more quickly than Cory. If they have to clean their rooms twice a week, how many minutes do all three spend cleaning their rooms each week?

[ { "keywords": [ "Cory", "takes", "minutes", "more" ], "value": "3" }, { "keywords": [ "his", "room", "minutes", "more" ], "value": "4" } ]

Cory takes 22 + 3 = <<22+3=25>>25 minutes to clean her room. Blake takes 25 - 4 = <<25-4=21>>21 minutes to clean his room. The three of them can clean their room in 22 + 25 + 21 = <<22+25+21=68>>68 minutes in all. In a week, they spend 68 x 2 = <<68*2=136>>136 minutes cleaning their rooms. #### 136

Mary has 5 green crayons and a certain number blue crayons of different shades. If she gives out a certain number green crayons and 1 blue crayon to Becky, how many crayons does she have left?

[ { "keywords": [ "gives", "out", "green", "crayons" ], "value": "3" }, { "keywords": [ "crayons", "and", "blue", "crayons" ], "value": "8" } ]

She had 5+8 = <<5+8=13>>13 crayons to start with She gave out 3+1 = <<3+1=4>>4 crayons to Becky She will have 13-4 = <<13-4=9>>9 crayons left #### 9

Winwin won $50 in a lottery. She paid a certain number for the tax and she paid $5 for the processing fee. How much was she able to take home?

[ { "keywords": [ "She", "paid", "for", "the" ], "value": "20%" } ]

Winwin paid $50 x 20/100 = $<<50*20/100=10>>10 for the tax. So, she has $50 - $10 = <<50-10=40>>40 after paying the tax. Therefore, Winwin was able to take home $40 - $5 = $<<40-5=35>>35 after she paid for the processing fee. #### 35

In a certain number years, Jayden will be half of Ernesto's age. If Ernesto is a certain number years old, how many years old is Jayden now?

[ { "keywords": [ "In", "years,", "Jayden" ], "value": "3" }, { "keywords": [ "Ernesto", "is", "years", "old," ], "value": "11" } ]

Ernesto = 11 + 3 = <<11+3=14>>14 Jayden = 14/2 = <<14/2=7>>7 in 3 years Now = 7 - 3 = <<7-3=4>>4 Jayden is 4 years old. #### 4

Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver a certain number meals and packages combined, how many meals does she deliver?

[ { "keywords": [ "to", "deliver", "meals", "and" ], "value": "27" } ]

Let p be the number of packages Angela delivers and m be the number of meals. We know that p + m = 27 and p = 8m. Substituting the second equation into the first equation, we get 8m + m = 27 Combining like terms, we get 9m = 27 Dividing both sides by 9, we get m = 3 #### 3

Keiko sent a certain number text messages last week. This week she sent 50 less than double what she sent last week. How many text messages did Keiko send last week and this week combined?

[ { "keywords": [ "Keiko", "sent", "text", "messages" ], "value": "111" } ]

Last week = 111 texts This week = (2 * 111) - 50 = <<(2*111)-50=172>>172 texts 111 + 172 = <<111+172=283>>283 texts Keiko sent 283 texts last week and this week combined. #### 283

A one-year subscription to a newspaper is offered with a a certain number discount. How much does the discounted subscription cost if a subscription normally costs $80?

[ { "keywords": [ "with", "a", "discount.", "How" ], "value": "45%" } ]

We calculate first the discount: 80 * 45 / 100 = $<<80*45/100=36>>36 So, the discounted subscription amounts to 80 – 36 = $<<80-36=44>>44 #### 44

Tim's cat bit him. He decided to get himself and the cat checked out. His doctor's visits $300 and insurance covered a certain number His cat's visit cost $120 and his pet insurance covered $60. How much did he pay?

[ { "keywords": [ "insurance", "covered", "His", "cat's" ], "value": "75%." } ]

The insurance covers 300*.75=$<<300*.75=225>>225 So he had to pay 300-225=$<<300-225=75>>75 The cats visit cost 120-60=$<<120-60=60>>60 So in total he paid 75+60=$<<75+60=135>>135 #### 135

Ariella has $200 more in her son's saving account than Daniella has in her son's savings account. Ariella's account earns her simple interest at the rate of a certain number per annum. If Daniella has $400, how much money will Arialla have after two years?

[ { "keywords": [ "rate", "of", "per", "annum." ], "value": "10%" } ]

If Ariella has $200 more in her son's saving account than Daniella has, then she has $400 + $200 = $600 If she earns an interest of 10% in the first year, her savings account increases by 10/100 * $600 = $<<10/100*600=60>>60 In the second year, she earns the same amount of interest, which $60 + $60 = $<<60+60=120>>120 The total amount of money in Ariella's account after two years is $600 + $120 = $<<600+120=720>>720 #### 720

Colby harvested his mango trees, the total mangoes he harvested is 60 kilograms. He sold a certain number kilograms to the market and sold the remaining half to his community. If each kilogram contains a certain number mangoes, how many mangoes does he still have?

[ { "keywords": [ "kilogram", "contains", "mangoes,", "how" ], "value": "8" }, { "keywords": [ "He", "sold", "kilograms", "to" ], "value": "20" } ]

He has 60-20= <<60-20=40>>40 kilograms of mangoes left after selling them to the market. Colby sold 1/2 x 40 = <<1/2*40=20>>20 kilograms of mangoes to the community. Therefore, Colby still has 20x8= <<20*8=160>>160 pieces of mangoes. #### 160

George bought some food for his trip: a bottle of juice, a sandwich, and a bottle of milk. The sandwich was for $4, and the juice was two times more expensive. The bottle of milk cost was a certain number of the total cost of the sandwich and juice. How much did George pay for his food?

[ { "keywords": [ "cost", "was", "of", "the" ], "value": "75%" } ]

The juice was two times more expensive than the sandwich, so it was 4 * 2 = $<<2*4=8>>8. The juice and the sandwich in total were a cost of 4 + 8 = $<<4+8=12>>12. So the cost of one bottle of milk was 75/100 * 12 = $<<75/100*12=9>>9. In total for all the food, George paid 12 + 9 = $<<12+9=21>>21. #### 21

A young girl pours 2a certain number blue beads and 16 yellow beads into a bowl. She divides the total into 3 equal parts, removes some beads from each part, and doubles the rest to have 6 beads in each part now. How many beads were removed from each part?

[ { "keywords": [ "total", "into", "equal", "parts," ], "value": "3" } ]

There are 23+16=<<23+16=39>>39 beads in the bowl Dividing them into 3 equal parts give 39/3=<<39/3=13>>13 beads each Before doubling the number of beads, she had 6/2=<<6/2=3>>3 beads left in each part. Therefore she had removed 13-3=<<13-3=10>>10 beads from each part. #### 10

Jerome is taking a a certain number bicycle trip. He wants to ride 12 miles for 12 days. How long will he ride on the a certain number day to finish his goal?

[ { "keywords": [ "on", "the", "day", "to" ], "value": "13th" }, { "keywords": [ "taking", "a", "bicycle", "trip." ], "value": "150-mile" } ]

Jerome rides a total of 12 x 12 = <<12*12=144>>144 miles in 12 days. So, he will ride 150 - 144 = <<150-144=6>>6 miles on the 13th day to finish his goal. #### 6

At Mario's barbershop haircuts are a certain number more expensive during the weekends. If Mario paid $18 for his last haircut on Monday, how much he would have paid the day before?

[ { "keywords": [ "haircuts", "are", "more", "expensive" ], "value": "50%" } ]

Mario's $18 cut on Monday would have been 50% more expensive on Sunday or $18*50% = $<<18*50*.01=9>>9 more expensive That means he would have paid $9 more on Sunday than what he paid ($18) on Monday or $9+$18 = $<<9+18=27>>27 #### 27

John throws a block party and splits the cost with a certain number other people. They buy a certain number pounds of burgers at $3 per pound. They also buy $80 of condiments and propane to cook everything. John also buys all the alcohol which costs $200. How much did John spend altogether

[ { "keywords": [ "cost", "with", "other", "people." ], "value": "3" }, { "keywords": [ "They", "buy", "pounds", "of" ], "value": "100" } ]

He splits the cost 3+1=<<3+1=4>>4 ways 100 pounds of burgers at $3 per pound makes 100*3=$<<100*3=300>>300 In addition to $80 for condiments and propane the total cost was 300+80=$<<300+80=380>>380 That means each of them paid 380/4=$<<380/4=95>>95 Then adding in the cost of alcohol, John spent 200+95=$<<200+95=295>>295 #### 295

Daniel has a collection of 346 video games. a certain number of them, Daniel bought for $12 each. Of the rest, a certain number were bought for $7. All others had a price of $3 each. How much did Daniel spend on all the games in his collection?

[ { "keywords": [ "the", "rest,", "were", "bought" ], "value": "50%" }, { "keywords": [ "video", "games.", "of", "them," ], "value": "80" } ]

On 80 games, Daniel spend 80 games * $12/game = $<<80*12=960>>960. The rest of the collection is 346 games - 80 games = <<346-80=266>>266 games. 50% of these games means 50/100 * 266 games = <<50/100*266=133>>133 games. Daniel bought them for $7 each, so he had to spend 133 games * $7/game = $<<133*7=931>>931 on them. The other 133 games were bought for $3 each, so they've cost him 133 games * $3/game = $<<133*3=399>>399. On all games in total Daniel spent $960 + $931 + $399 = $<<960+931+399=2290>>2290. #### 2290

James joins a football team and becomes the star. He scores 4 touchdowns per game and each touchdown is worth 6 points. There are a certain number games in the season. He also manages to score 2 point conversions 6 times during the season. The old record was 300 points during the season. How many points did James beat the old record by?

[ { "keywords": [ "There", "are", "games", "in" ], "value": "15" } ]

He scored 4*6=<<4*6=24>>24 points per game So he scored 15*24=<<15*24=360>>360 points from touchdowns He also scored 2*6=<<2*6=12>>12 points from the 2 point conversions So he scored a total of 360+12=<<360+12=372>>372 points That means he beat the old record by 372-300=<<372-300=72>>72 points #### 72

On Monday Buddy has 30 baseball cards. On Tuesday Buddy loses half of them. On Wednesday Buddy buys a certain number baseball cards. On Thursday he buys a third of what he had on Tuesday. How many baseball cards does he have on Thursday?

[ { "keywords": [ "Buddy", "buys", "baseball", "cards." ], "value": "12" } ]

On Tuesday Buddy has 30/2 = <<30/2=15>>15 baseball cards. On Wednesday Buddy has 15+12 = <<15+12=27>>27 baseball cards. On Thursday Buddy buys 15/3 = <<15/3=5>>5 baseball cards. On Thursday Buddy has a total of 27+5 = <<27+5=32>>32 baseball cards. #### 32

Manex is a tour bus driver. He has to drive a certain number miles to the destination and drive going back to the starting point on a different way that is 10 miles farther. If he can drive 1 mile for a certain number minutes and stayed 2 hours at the destination, how long will it take the bus driver to do the entire tour in hours?

[ { "keywords": [ "mile", "for", "minutes", "and" ], "value": "2" }, { "keywords": [ "to", "drive", "miles", "to" ], "value": "55" } ]

The bus traveled 55 + 10 = <<55+10=65>>65 miles going back to the starting point. So, the bus traveled a total of 55 + 65 = <<55+65=120>>120 miles. It took 120 x 2 = <<120*2=240>>240 minutes to travel. Since there are 60 minutes in 1 hour, then the bus traveled for 240/60 = <<240/60=4>>4 hours. Therefore, the entire tour took 4 + 2 = <<4+2=6>>6 hours. #### 6

Grandpa Lou enjoys watching movies on the Hallmark channel, where every movie lasts 90 minutes. If, on Tuesday, he watched several full-length movies on the Hallmark channel for a total of a certain number hours and 30 minutes, and then on Wednesday he watched on the same channel twice as many movies as he did on Tuesday. What is the maximum number of full-length movies Grandpa could have watched during these two days?

[ { "keywords": [ "total", "of", "hours", "and" ], "value": "4" } ]

4 hours and 30 minutes is the same as 4*60+30=<<4*60+30=270>>270 minutes. At 90 minutes per movie, Grandpa could watch a total of 270/90=<<270/90=3>>3 entire movies in 4 hours and 30 minutes. On Wednesday, he watched 2*3=<<2*3=6>>6 movies. Thus, during these two days, he could have watched as many as 3+6=<<3+6=9>>9 movies. #### 9

Janet filmed a new movie that is a certain number longer than her previous 2-hour long movie. Her previous movie cost $50 per minute to film, and the newest movie cost twice as much per minute to film as the previous movie. What was the total amount of money required to film Janet's entire newest film?

[ { "keywords": [ "that", "is", "longer", "than" ], "value": "60%" } ]

The first movie was 2*60=<<2*60=120>>120 minutes So this movie is 120*.6=<<120*.6=72>>72 minutes longer So this movie is 192 minutes It also cost 50*2=$<<50*2=100>>100 per minute to film So it cost 192*100=$1920 #### 1920

Silvia’s bakery is offering 10% on advanced orders over $50.00. She orders 2 quiches for $15.00 each, a certain number croissants at $3.00 each and 6 buttermilk biscuits for $2.00 each. How much will her order be with the discount?

[ { "keywords": [ "$15.00", "each,", "croissants", "at" ], "value": "6" } ]

She orders 2 quiches for $15.00 each so they cost 2*15 = $<<2*15=30.00>>30.00 She orders 6 croissants at $3.00 each so they cost 6*2.5 = $<<6*3=18.00>>18.00 She orders 6 biscuits at $2.00 each so they cost 6*2 = $<<6*2=12.00>>12.00 Her advance order is 30+18+12 = $<<30+18+12=60.00>>60.00 Her advance order is over $50.00 so she can get 10% off so .10*60 = $6.00 Her order is $60.00 and she gets $6.00 off so her advanced order will cost 60-6=$<<60-6=54.00>>54.00 #### 54

Borris liquor store uses a certain number kilograms of grapes every a certain number months. He is thinking of increasing his production by twenty percent. How many grapes does he need in a year after increasing his production?

[ { "keywords": [ "grapes", "every", "months.", "He" ], "value": "6" }, { "keywords": [ "store", "uses", "kilograms", "of" ], "value": "90" } ]

Borris uses 90 x 2 = <<90*2=180>>180 kilograms of grapes per year. The increase of kilograms of grapes he needed per year is 180 x 0.20 = <<180*0.20=36>>36. Therefore, Borris needs 180 + 36 = <<180+36=216>>216 kilograms of grapes in a year. #### 216

James collects all the fruits from his a certain number trees. Each tree has 20 plants. Each plant has 1 seed and he plants 60% of those. How many trees did he plant?

[ { "keywords": [ "from", "his", "trees.", "Each" ], "value": "2" } ]

He got 20*2=<<20*2=40>>40 seeds That means he plants 40*.6=<<40*.6=24>>24 trees #### 24

Kyle bought a certain number glass bottles that can hold 15 origami stars each. He then bought another 3 identical glass bottles. How many stars must Kyle make to fill all the glass bottles he bought?

[ { "keywords": [ "Kyle", "bought", "glass", "bottles" ], "value": "2" } ]

Kyle has 2 + 3 = <<2+3=5>>5 glass bottles. He needs to make 15 x 5 = <<15*5=75>>75 origami stars #### 75

Mark has two pets, a hare that runs a certain number0 feet/second and a turtle that crawls 1 foot/second. If they're going to run a a certain number foot-race, how much of a head start (in seconds) does the turtle need to finish in a tie?

[ { "keywords": [ "run", "a", "foot-race,", "how" ], "value": "20" }, { "keywords": [ "that", "crawls", "foot/second.", "If" ], "value": "1" } ]

We can find how long the hare spends running by dividing the distance of the race by the hare's speed: 20 feet / 10 feet/second = <<20/10=2>>2 seconds We can do the same for the turtle: 20 feet / 1 foot/second = <<20/1=20>>20 seconds Finally, subtract the hare's run time from the turtle's run time to find the length of the head start the turtle needs: 20 seconds - 2 seconds = <<20-2=18>>18 seconds #### 18

Conner has a dune buggy that he rides in the desert. On flat sand, it can ride at a speed of 60 miles per hour. When traveling on downhill slopes, it can race at a certain number miles per hour faster than it can when it is on flat sand. And when riding on an uphill inclined slow, it travels at a speed a certain number miles per hour slower than when it is riding on flat sand. If Conner rides his dune buggy one-third of the time on flat sand, one-third of the time on uphill slopes, and one-third of the time on downhill slopes, what is his average speed in miles per hour?

[ { "keywords": [ "a", "speed", "miles", "per" ], "value": "18" }, { "keywords": [ "race", "at", "miles", "per" ], "value": "12" } ]

12 mph faster than 60mph is 60+12=<<60+12=72>>72 mph. 18 mph slower than 60 mph is 60-18=<<60-18=42>>42 mph. If he spends 1/3 of the time at each of these three speeds, then he averages (60+72+42)/3 = <<(60+72+42)/3=58>>58 mph. #### 58

A store sells a certain number packets of a certain number grams of sugar every week. How many kilograms of sugar does it sell every week?

[ { "keywords": [ "packets", "of", "grams", "of" ], "value": "100" }, { "keywords": [ "store", "sells", "packets", "of" ], "value": "20" } ]

A total of 20 x 100 = <<20*100=2000>>2000 grams are sold every week. Since 1 kilogram is equal to 1000 grams, then 2000/1000 = <<2000/1000=2>>2 kilograms of sugar are sold every week. #### 2

James decides to replace his car. He sold his $20,000 car for a certain number of its value and then was able to haggle to buy a $30,000 sticker price car for a certain number of its value. How much was he out of pocket?

[ { "keywords": [ "car", "for", "of", "its" ], "value": "80%" }, { "keywords": [ "price", "car", "for", "of", "its" ], "value": "90%" } ]

He sold his car for 20000*.8=$<<20000*.8=16000>>16,000 He bought the new car for 30,000*.9=$<<30000*.9=27000>>27,000 That means he was out of pocket 27,000-16,000=$<<27000-16000=11000>>11,000 #### 11000

Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought a certain number pansies at $2.a certain number0 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?

[ { "keywords": [ "$12.50", "and", "petunias", "that" ], "value": "5" }, { "keywords": [ "He", "bought", "pansies", "at" ], "value": "5" } ]

5 pansies at $2.50 each is 5*2.50 = $<<5*2.5=12.50>>12.50 5 petunias at $1.00 each 5*1 = $<<5*1=5.00>>5.00 All total he spends 12.50+12.50+5.00 = $<<12.50+12.50+5.00=30.00>>30.00 The sale is 10% off so 30*.10 = $<<30*.10=3.00>>3.00 The purchase total now comes to 30-3 = $<<30-3=27.00>>27.00 He pays with a $50 bill so 50-27 = $<<50-27=23.00>>23.00 #### 23

Colton had 72 dolphin stickers. He gave 4 stickers each to a certain number friends. He also gave his friend Mandy 2 more than he gave his three friends total. And he gave Justin a certain number less than Mandy. How many stickers does Colton have left?

[ { "keywords": [ "each", "to", "friends.", "He" ], "value": "3" }, { "keywords": [ "gave", "Justin", "less", "than" ], "value": "10" } ]

Colton gave away 4 stickers * 3 friends = <<4*3=12>>12 stickers. Colton gave Mandy 2 + 12 stickers = <<2+12=14>>14 stickers. Colton gave Justin 14 stickers - 10 = <<14-10=4>>4 stickers. In total, Colton gave away 12 + 14 + 4 stickers = <<12+14+4=30>>30 stickers. Colton's number of total stickers at the end is 72 - 30 = <<72-30=42>>42 stickers. #### 42

A certain tree was 100 meters tall at the end of a certain number It will grow 10% more than its previous height each year. How long has the tree grown from 2017 until the end of 2019?

[ { "keywords": [ "end", "of", "It", "will" ], "value": "2017." } ]

At the end of 2018, the tree will grow 100 x 10/100 = <<100*10/100=10>>10 meters more. Thus, its height at the end of 2018 is 100 + 10 = <<100+10=110>>110 meters. At the end of 2019, the tree will grow 110 x 10/100 = <<110*10/100=11>>11 meters more. So, its height at the end of 2019 is 110 + 11 = <<110+11=121>>121 meters. Therefore, the tree has grown 121 - 100 = <<121-100=21>>21 meters. #### 21

Lisa and Carly go shopping together. Lisa spends $40 on t-shirts then spends half of this amount on jeans and twice this amount on coats. Carly spends only a quarter as much as Lisa on t-shirts but spends a certain number times as much on jeans and a quarter of the amount Lisa spent on coats. In dollars, how much did Lisa and Carly spend in total?

[ { "keywords": [ "but", "spends", "times", "as" ], "value": "3" } ]

Lisa spends $40 on t-shirts / 2 = $<<40/2=20>>20 on jeans. She also spends $40 on t-shirts * 2 = $<<40*2=80>>80 on coats. So Lisa has spent a total of 40 + 20 + 80 = $<<40+20+80=140>>140. Carly spends $40 / 4 = $<<40/4=10>>10 on t-shirts. She also spends $20 per pair of jeans * 3 = $<<20*3=60>>60 on jeans. She then also spends $80 Lisa’s cost for coats / 4 = $<<80/4=20>>20 on coats. So Carly has spent a total of 10 + 60 + 20 = $<<10+60+20=90>>90. Lisa and Carly have therefore spent a total of 140 + 90 = $<<140+90=230>>230. #### 230

A small poultry farm has 300 chickens, a certain number turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and a certain number guinea fowls. After a week, how many birds will be left in the poultry?

[ { "keywords": [ "300", "chickens,", "turkeys", "and" ], "value": "200" }, { "keywords": [ "turkeys", "and", "guinea", "fowls." ], "value": "5" } ]

There are 300+200+80 = <<300+200+80=580>>580 birds in total Every day 20+8+5 = <<20+8+5=33>>33 birds are lost After a week which is 7 days, 33*7 = <<33*7=231>>231 birds would be lost There would be 580-231 = <<580-231=349>>349 birds left in the poultry #### 349

After tests in California, the total number of Coronavirus cases was recorded as a certain number positive cases on a particular day. The number of cases increased by 500 on the second day, with 50 recoveries. On the third day, the total number of new cases spiked to 1500 with 200 recoveries. What's the total number of positive cases after the third day?

[ { "keywords": [ "recorded", "as", "positive", "cases" ], "value": "2000" } ]

When 500 new cases were recorded after the tests, the total number of positive cases increased to 2000 cases + 500 cases = <<2000+500=2500>>2500 cases. With 50 recoveries, the total number of cases reduced to 2500 cases - 50 cases = <<2500-50=2450>>2450 cases. On the third day, with 1500 new cases, the total number of cases became 2450 cases + 1500 cases = <<2450+1500=3950>>3950 cases. If 200 people recovered from the virus, the total number of people with Coronavirus became 3950 cases - 200 cases = 3750 cases #### 3750

Caleb and his dad went fishing at the lake. Caleb caught a certain number trouts and his dad caught three times as much as Caleb. How many more trouts did his dad catch compared to Caleb?

[ { "keywords": [ "Caleb", "caught", "trouts", "and" ], "value": "2" } ]

Caleb’s dad caught 2 x 3 = <<2*3=6>>6 trouts. His dad caught 6 - 2 = <<6-2=4>>4 more trouts than Caleb. #### 4

Christina has a certain number snakes. 1 snake is 2 feet long. Another snake is a certain number inches long. The last snake is 10 inches long. How many inches are all of her snakes combined?

[ { "keywords": [ "Christina", "has", "snakes.", "1" ], "value": "3" }, { "keywords": [ "snake", "is", "inches", "long." ], "value": "16" } ]

The first snake is 24 inches because there are 12 inches in a foot. The snakes are 24+16+10= <<24+16+10=50>>50 inches long. #### 50

Madeline has 5 boxes with a certain number crayons in each. She noticed that 5/8 of the crayons in the a certain number boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?

[ { "keywords": [ "boxes", "with", "crayons", "in" ], "value": "24" }, { "keywords": [ "In", "the", "other", "boxes," ], "value": "2" } ]

Two boxes of crayons have 24 x 5/8 = <<24*5/8=15>>15 unused crayons from each box. So, a total of 15 x 2 = <<15*2=30>>30 unused crayons are in the two boxes. For the other 2 boxes, there are 24 x 2/3 = <<24*2/3=16>>16 used crayons from each box. Hence, there are 24 - 16 = <<24-16=8>>8 unused crayons. So, a total of 8 x 2 = <<8*2=16>>16 unused crayons are in the other two boxes. Therefore, Madeline has a total of 30 + 16 + 24 = <<30+16+24=70>>70 unused crayons. #### 70

Yesterday, David and William were invited to a party. David broke a certain number glasses, while his friend William broke a certain number times the number of glasses David broke. How many glasses were broken?

[ { "keywords": [ "William", "broke", "times", "the" ], "value": "4" }, { "keywords": [ "David", "broke", "glasses,", "while" ], "value": "2" } ]

William broke 4 * 2 = <<4*2=8>>8 glasses. So, David and William broke 8 + 2 = <<8+2=10>>10 glasses. #### 10

Thor is a certain number times older than Captain America. Captain America is 7 times older than Peter Parker, and Ironman is 32 years older than Peter Parker. How old is Ironman if Thor is 1456 years old?

[ { "keywords": [ "Thor", "is", "times", "older" ], "value": "13" } ]

Captain America is 1456/13 = <<1456/13=112>>112 years old Peter Parker is 112/ 7 = <<112/7=16>>16 years old Ironman is 16 + 32 = <<16+32=48>>48 years old #### 48

Last year Dallas was a certain number times the age of his sister Darcy. Darcy is twice as old as Dexter who is a certain number right now. How old is Dallas now?

[ { "keywords": [ "Dallas", "was", "times", "the" ], "value": "3" }, { "keywords": [ "who", "is", "right", "now." ], "value": "8" } ]

Darcy = 2*Dexter = 2*8 = 16 Last year Darcy was 16 - 1 = <<16-1=15>>15 Dallas was 3 times Darcy last year = 3*15 = <<3*15=45>>45 Dallas is a year older now = 45 + 1 = <<45+1=46>>46 Dallas is 46 years old now. #### 46

In a section of the forest, there are a certain number weasels and 50 rabbits. Three foxes invade this region and hunt the rodents. Each fox catches an average of a certain number weasels and 2 rabbits per week. How many rabbits and weasels will be left after 3 weeks?

[ { "keywords": [ "average", "of", "weasels", "and" ], "value": "4" }, { "keywords": [ "there", "are", "weasels", "and" ], "value": "100" } ]

3 foxes catch 4 weasels each every week for a total of 3*4 = <<3*4=12>>12 weasels 12 weasels are caught every week for 3 weeks for a total of 12*3 = <<12*3=36>>36 weasels 3 foxes catch 2 rabbits each every week for a total of 3*2 = <<3*2=6>>6 rabbits 6 rabbits are caught every week for 3 weeks for a total of 6*3 = <<6*3=18>>18 rabbits There were originally 100 weasels so now there are 100-36 = <<100-36=64>>64 weasels left There were originally 50 rabbits so now there are 50-18 = <<50-18=32>>32 rabbits left There are 64+32 = <<64+32=96>>96 weasels and rabbits left #### 96

Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold a certain number iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today?

[ { "keywords": [ "also", "sold", "iPads", "for" ], "value": "20" } ]

The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $<<100*1000=100000>>100,000 The sales for iPads today were 20 iPads * $900 per iPad = $<<20*900=18000>>18,000 The sales for Apple TV’s today were 80 * $200 = $<<80*200=16000>>16,000 The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $<<100000+18000+16000=134000>>134,000 The total number of products sold was 100 + 20 + 80 = <<100+20+80=200>>200 The average cost per product sold was $134,000 total sales / 200 total products = $<<134000/200=670>>670 #### 670

Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were a certain number inches tall, how tall were the sunflowers from Packet B?

[ { "keywords": [ "A", "were", "inches", "tall," ], "value": "192" } ]

The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. #### 160

Mr. Grey is purchasing gifts for his family. So far he has purchased 3 polo shirts for $a certain number6 each; 2 necklaces for $83 each; and 1 computer game for $90. Since Mr. Grey purchased all those using his credit card, he received a $12 rebate. What is the total cost of the gifts after the rebate?

[ { "keywords": [ "$26", "each;", "necklaces", "for" ], "value": "2" } ]

Mr. Grey paid $26/shirt x 3 shirts = $<<26*3=78>>78 on polo shirts. He paid $83/necklace x 2 necklaces = $<<83*2=166>>166 on necklaces. So, he paid $78 + $166 + $90 = $<<78+166+90=334>>334 for the gifts. After the rebate, the total cost of the gifts is now $334 - $12 = $<<334-12=322>>322. #### 322

Mary bought 5 boxes of drinks at $6 each box and a certain number boxes of pizzas at $14 each box for her pizza party. She paid $200 for all the items. How much change did she get back?

[ { "keywords": [ "box", "and", "boxes", "of" ], "value": "10" } ]

Mary spent 5 x $6 = $<<5*6=30>>30 on drinks. She spent 10 x $14 = $<<10*14=140>>140 on pizzas. She spent a total amount of $30 + $140 = $<<30+140=170>>170. Therefore, Mary got a change of $200 - $170 = $<<200-170=30>>30 after paying all the items for her pizza party. #### 30

Herbert is a certain number years younger than Kris. If Kris is a certain number years old now, how old will Herbert be next year?

[ { "keywords": [ "Kris", "is", "years", "old" ], "value": "24" }, { "keywords": [ "Herbert", "is", "years", "younger" ], "value": "10" } ]

Herbert is 24 - 10 = <<24-10=14>>14 years old now. Thus, Herbert will be 14 + 1 = <<14+1=15>>15 years old next year. #### 15

There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 a certain number rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover?

[ { "keywords": [ "half", "eat", "a", "roll" ], "value": "1/2" } ]

Half the people at the party is 16 / 2 = <<16/2=8>>8 people. 8 people at the party eat 1 1/2 rolls each, 8 x 1 1/2 = 12 dinner rolls eaten. 8 people at the party eat 1/2 a roll each, 8 x 1/2 = <<8*1/2=4>>4 dinner rolls eaten. Combined, the people at the party ate 12 + 4 = <<12+4=16>>16 dinner rolls. There were originally 40 dinner rolls - 16 that got eaten = <<40-16=24>>24 dinner rolls leftover. #### 24

Rosie runs 6 miles per hour. She runs for a certain number hour on Monday, 30 minutes on Tuesday, 1 hour on Wednesday, and 20 minutes on Thursday. If she wants to run 20 miles for the week, how many minutes should she run on Friday?

[ { "keywords": [ "on", "Tuesday,", "hour", "on" ], "value": "1" } ]

On Monday and Wednesday, Rosie runs 6*1= <<6*1=6>>6 miles. On Tuesday, Rosie runs 6*(30 minutes/60 minutes) = <<6*(30/60)=3>>3 miles. On Thursday, Rosie runs 6*(20 minutes/60 minutes)=<<6*(20/60)=2>>2 miles. So far this week Rosie has run 6+3+6+2=<<6+3+6+2=17>>17 miles. To reach her goal, she must run 20-17=<<20-17=3>>3 miles on Friday. Thus, she should run for 6/3=.5 hour which is 30 minutes. #### 30

Gary bought his first used car for $6,000. Gary borrowed the money from his dad who said he could pay him back the full amount over 5 years. Gary decided he would pay his dad back the full amount in 2 years. How much more is Gary spending per month to pay the loan off in 2 years instead of a certain number

[ { "keywords": [ "instead", "of" ], "value": "5?" } ]

A full year has 12 months. So 2 years is 2*12 = <<2*12=24>>24 months The loan amount is $6,000 that he will repay in 24 months so 6000/24 = $<<6000/24=250>>250 per month If he paid his dad back in 5 years that 5*12 = <<5*12=60>>60 months $6,000 loan spread out over 60 months is 6000/60 = $<<6000/60=100>>100 per month To pay it off in 2 years instead of 5, Gary is paying 250-100 = $<<250-100=150>>150 more per month #### 150

Sansa is a famous artist, she can draw a portrait and sell it according to its size. She sells an 8-inch portrait for $5, and a a certain number portrait for twice the price of the 8-inch portrait. If she sells three 8-inch portraits and five 16-inch portraits per day, how many does she earns every 3 days?

[ { "keywords": [ "and", "five", "portraits", "per" ], "value": "16-inch" } ]

Sansa earns $5 x 3 = $<<5*3=15>>15 every day by selling three 8-inch portraits. The price of the 16-inch portrait is $5 x 2 = $<<5*2=10>>10 each. So, she earns $10 x 5 = $<<10*5=50>>50 every day by selling five 16-inch portraits. Her total earnings is $50 + $15 = $<<50+15=65>>65 every day. Therefore, the total amount she earns after 3 days is $65 x 3 = $<<65*3=195>>195. #### 195

Archibald eats 1 apple a day for two weeks. Over the next three weeks, he eats the same number of apples as the total of the first two weeks. Over the next two weeks, he eats a certain number apples a day. Over these 7 weeks, how many apples does he average a week?

[ { "keywords": [ "he", "eats", "apples", "a" ], "value": "3" } ]

He ate 14 apples the first two weeks because 14 x 1 = 14 He ate 14 apples in the next three weeks because 14 = <<14=14>>14 He ate 42 apples in the final two weeks because 14 x 3 = <<14*3=42>>42 He ate 70 apples in total. He averaged 10 apples a week because 70 / 7 = <<70/7=10>>10 #### 10

Susie has $200 in her piggy bank. If she puts a certain number more money into her piggy bank, how much money she will have?

[ { "keywords": [ "she", "puts", "more", "money" ], "value": "20%" } ]

If Susie puts 20% more money into her piggy bank, she'll have 20/100*200 = $<<20/100*200=40>>40 more in her piggy bank. The total amount of money in Susie's piggy bank will increase to $200+$40=$<<200+40=240>>240 #### 240

Benny bought a certain number soft drinks for$ 4 each and 5 candy bars. He spent a total of a certain number dollars. How much did each candy bar cost?

[ { "keywords": [ "Benny", "bought", "soft", "drinks" ], "value": "2" }, { "keywords": [ "total", "of", "dollars.", "How" ], "value": "28" } ]

Benny spent 2 * $4 = $<<2*4=8>>8 on soft drinks. Benny spent a total of $28 - $8 on soft drinks = $<<28-8=20>>20 on candy bars. Benny spent $20 / 5 candy bars = $<<20/5=4>>4 for each candy bar. #### 4

Jack has a stack of books that is 12 inches thick. He knows from experience that a certain number pages is one inch thick. If he has a certain number books, how many pages is each one on average?

[ { "keywords": [ "he", "has", "books,", "how" ], "value": "6" }, { "keywords": [ "experience", "that", "pages", "is" ], "value": "80" } ]

There are 960 pages because 80 x 12 = <<80*12=960>>960 Each book is 160 pages because 960 / 6 = <<960/6=160>>160 #### 160

Wickham is throwing a huge Christmas party. He invites a certain number people. Everyone attends the party, and half of the guests bring a plus one (one other person). He plans to serve a 3-course meal for the guests. If he uses a new plate for every course, how many plates does he need in total for his guests?

[ { "keywords": [ "He", "invites", "people.", "Everyone" ], "value": "30" } ]

The number of guests that bring a plus one is 30 / 2 = <<30/2=15>>15 guests The total number of guests at the party, including the plus ones, is 30 + 15 = <<30+15=45>>45 guests Since there are 3 courses, Wickham will need 45 * 3 = <<45*3=135>>135 plates #### 135

There are some lions in Londolozi at first. Lion cubs are born at the rate of 5 per month and lions die at the rate of a certain number per month. If there are a certain number lions in Londolozi after 1 year, how many lions were there in Londolozi at first?

[ { "keywords": [ "there", "are", "lions", "in" ], "value": "148" }, { "keywords": [ "Londolozi", "after", "year,", "how" ], "value": "1" } ]

There are 5-1=<<5-1=4>>4 more lions each month. There will be 4*12=<<4*12=48>>48 more lions after 1 year. There were 148-48=<<148-48=100>>100 lions in Londolozi at first. #### 100

John volunteers at a shelter twice a month for a certain number hours at a time. How many hours does he volunteer per year?

[ { "keywords": [ "month", "for", "hours", "at" ], "value": "3" } ]

He volunteers 2*12=<<2*12=24>>24 times a year So he volunteers for 24*3=<<24*3=72>>72 hours #### 72

John puts $a certain number5 in his piggy bank every month for 2 years to save up for a vacation. He had to spend $400 from his piggy bank savings last week to repair his car. How many dollars are left in his piggy bank?

[ { "keywords": [ "month", "for", "years", "to" ], "value": "2" } ]

He saved money for 2 years, which is equal to 12 x 2 = <<12*2=24>>24 months. The amount of money he saved is $25*24 = $<<25*24=600>>600. But he spent some money so there is $600 - $400 = <<600-400=200>>200 left. #### 200

Five coaster vans are used to transport students for their field trip. Each van carries a certain number students, a certain number of which are boys. How many are girls?

[ { "keywords": [ "28", "students,", "of", "which" ], "value": "60" }, { "keywords": [ "van", "carries", "students,", "60" ], "value": "28" } ]

There are a total of 5 vans x 28 students = <<5*28=140>>140 students. If 60 are boys, then 140 - 60 = <<140-60=80>>80 of these students are girls. #### 80

Bobby has a certain number toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years?

[ { "keywords": [ "Bobby", "has", "toy", "cars," ], "value": "16" } ]

In the first year, Bobby will acquire 16 * .5 = <<16*.5=8>>8 new cars. After the first year, he will have a total of 16 + 8 = <<16+8=24>>24 cars. In the second year, Bobby will acquire 24 * .5 = <<24*.5=12>>12 new cars. After the second year, he will have 24 + 12 = <<24+12=36>>36 cars in total. In the third year, Bobby will acquire 36 * .5 = <<36*.5=18>>18 new cars. After the third year, he will have 36 + 18 = <<36+18=54>>54 cars in total. #### 54

Last year Jessica paid $1000 for rent, $200 for food, and $100 for car insurance each month. This year her rent goes up by a certain number food costs increase by 50%, and the cost of her car insurance triples because she was at fault in an accident. How much more does Jessica pay for her expenses over the whole year compared to last year?

[ { "keywords": [ "up", "by", "food", "costs" ], "value": "30%," } ]

First find the increase in rent by multiplying last year's rent by 30%: $1000 * .3 = $<<1000*.3=300>>300 Then find the food cost increase by multiplying last year's costs by 50%: $200 * .5 = $<<200*.5=100>>100 Then find the new car insurance price by multiplying last year's price by 3: $100 * 3 = $<<100*3=300>>300 Then subtract the cost of car insurance last year from this year's price to find the increase: $300 - $100 = $<<300-100=200>>200 Now find how much Jessica's monthly expenses increased by adding the increases in each of the three costs: $300 + $100 + $200 = $<<300+100+200=600>>600 Now multiply the increase per month by the number of months in a year to find the annual increase: $600/month * 12 months/year = $<<600*12=7200>>7200/year #### 7200

Randy just turned a certain number and started playing the piano. His friend Sheila told him about the a certain number-hour rule which says, after 10,000 hours of practice, you become an expert or master in your field. If Randy wants to become a piano expert before he is 20, how many hours a day will he need to practice if he practices every day, Monday – Friday, and takes two weeks off for vacation each year?

[ { "keywords": [ "just", "turned", "and", "started" ], "value": "12" }, { "keywords": [ "says,", "after", "hours", "of" ], "value": "10,000" } ]

Randy has 20 – 12 = <<20-12=8>>8 years until he is 20. He must practice 10,000 hours / 8 years = <<10000/8=1250>>1,250 hours a year to become an expert. There are 52 weeks in a year – 2 weeks of vacation Randy plans to take = <<52-2=50>>50 weeks of practice for Randy. Randy will practice Monday – Friday, which is 5 days a week, so 50 weeks x 5 days = <<50*5=250>>250 days of practice each year. Randy will need to practice 1250 hours / 250 days = <<1250/250=5>>5 hours each day. #### 5

Mike and Ted planted tomatoes. In the morning, Mike planted a certain number tomato seeds while Ted planted twice as much as Mike. In the afternoon, Mike planted 60 tomato seeds while Ted planted a certain number fewer tomato seeds than Mike. How many tomato seeds did they plant altogether?

[ { "keywords": [ "Ted", "planted", "fewer", "tomato" ], "value": "20" }, { "keywords": [ "Mike", "planted", "tomato", "seeds" ], "value": "50" } ]

Ted planted 2 x 50 = <<2*50=100>>100 tomato seeds. So, Mike and Ted planted 50 + 100 = <<50+100=150>>150 tomato seeds in the morning. In the afternoon, Ted planted 60 - 20 = <<60-20=40>>40 seeds. Thus, Mike and Ted planted 60 + 40 = <<60+40=100>>100 tomato seeds in the afternoon. Therefore, they planted 150 + 100 = <<150+100=250>>250 tomato seed altogether. #### 250

In 6 months Bella and Bob will be celebrating their a certain number anniversary. How many months ago did they celebrate their a certain number anniversary?

[ { "keywords": [ "celebrate", "their", "anniversary?" ], "value": "2nd" }, { "keywords": [ "celebrating", "their", "anniversary.", "How" ], "value": "4th" } ]

First, we find their current point in time be realizing that 4 years is 4 sets of 12 months, meaning at that anniversary they will have been together 4*12=<<4*12=48>>48 months Then, we subtract their 6 month difference, finding they are at 48-6=<<48-6=42>>42 months into their relationship. Since 2 years would be 2*12=<<2*12=24>>24 months into the relationship. We take the larger number, 42, and subtract the smaller number, 24 to find the difference in months, meaning it is 42-24= <<42-24=18>>18 months #### 18

A church has a certain number members. 40% are adults. The rest are children. How many children more children are there than adults?

[ { "keywords": [ "church", "has", "members.", "40%" ], "value": "120" } ]

There are 48 adults because 120 x .4 = <<120*.4=48>>48 60% of members are children because 100 - 40 = <<100-40=60>>60 There are 72 children because 120 x .6 = <<120*.6=72>>72 There are 24 more children than adults because 72 - 48 = <<72-48=24>>24 #### 24

Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After a certain number years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?

[ { "keywords": [ "bank.", "After", "years,", "the" ], "value": "4" } ]

We let x be the amount of money she put in the bank the first year, Then the second year was 2*x, and the third year was 2*2*x=4*x, and the fourth year was 2*2*2*x=8*x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x+(2*x)+(4*x)+(8*x). This simplifies to $450=15*x. And therefore, the amount of money she put in the bank the first year was x=$<<30=30>>30. #### 30

By the time Anne is two times as old as Emile, Emile will be six times as old as Maude. If Maude will be a certain number years old, how old will Anne be?

[ { "keywords": [ "will", "be", "years", "old," ], "value": "8" } ]

If Maude's age is 8 by the time Anne's age is four times Emile's age, Emile will be six times as old as Maude, which totals 6*8 = 48 years. If Emile's age is 48 years old by the time Anne's age is twice her number, Anne will be 2*48 = <<48*2=96>>96 years. #### 96

Ravi has some coins. He has 2 more quarters than nickels and a certain number more dimes than quarters. If he has a certain number nickels, how much money does he have?

[ { "keywords": [ "nickels", "and", "more", "dimes" ], "value": "4" }, { "keywords": [ "he", "has", "nickels,", "how" ], "value": "6" } ]

Ravi has 6 + 2 = <<6+2=8>>8 quarters. He has also 8 + 4 = <<8+4=12>>12 dimes. A nickel is worth 5 cents so Ravi's nickels amount to 6 x 5 = <<6*5=30>>30 cents. A quarter is worth 25 cents so his quarters amount to 8 x 25 = <<8*25=200>>200 cents. A dime is worth 10 cents so his dimes amount to 12 x 10 = <<12*10=120>>120 cents. therefore, Ravi has 30 + 200 + 120 = <<30+200+120=350>>350 cents. #### 350

Lisa is looking to attempt a World Record. She has decided to try and match Joey Chestnut's record of eating 75 full hotdogs, buns included, in 10 minutes. Halfway through the time Lisa has eaten a certain number hotdogs. How many hotdogs will she have to eat per minute to at least tie Joey Chestnut's record?

[ { "keywords": [ "has", "eaten", "hotdogs.", "How" ], "value": "20" } ]

Joey Chestnut ate 75 hotdogs to claim the record and Lisa has eaten 20 hot dogs so far, so she still needs to eat 75-20=<<75-20=55>>55 hotdogs to tie Joey Chestnut. Lisa has a 10 minute time period to eat the hotdogs and half the time has already passed, which means Lisa has 10/2=<<10/2=5>>5 minutes left until the competition is over. If she needs to eat 55 hotdogs to tie Joey Chestnut and there are 5 minutes left in the competition period then she needs to eat 55/5=<<55/5=11>>11 hot dogs per minute to have a chance of tying for a win. #### 11

A car uses 20 gallons of gas to travel 400 miles. Mr. Montero's car has a certain number gallons in it. How many more gallons of gas does he need to travel a certain number miles, back and forth?

[ { "keywords": [ "to", "travel", "miles,", "back" ], "value": "600" }, { "keywords": [ "car", "has", "gallons", "in" ], "value": "8" } ]

Mr. Montero is traveling a total distance of 600 miles + 600 miles = <<600+600=1200>>1200 miles. There are 1200 miles / 400 miles = <<1200/400=3>>3 sets of 400 miles in 1200 miles. So Mr. Montero needs 20 gallons/set x 3 sets = <<20*3=60>>60 gallons in all. Since his car has 8 gallons already, then he needs to add 60 gallons - 8 gallons = <<60-8=52>>52 gallons more. #### 52