Reasoning and answer: On Monday Adam had 6 * 30 = 180 minutes of lessons, which is 3 hours. On Wednesday Adam spent twice as much time at school as on Tuesday, so he spent 2 * 3 = 6 hours at school. This means that during these three days Adam spent at school 3 + 3 + 6 = 12 hours.
The answer: 12
What was the question?
Question: Adam goes to school every day. On Monday he had 6 lessons of 30 minutes each, and on Tuesday he had 3 lessons of 1 hour each. On Wednesday, Adam spent twice as much time at school as on Tuesday. How much time in total did Adam spend at school during these 3 days, in hours?


There are a total of 15 x 3 = 45 hats in 3 bags. Since 5 tore off, only 45 - 5 = 40 hats were left. Thus, 40 - 25 = 15 hats were unused.
The answer: 15
Reverse engineering the question: Miggy's mom brought home 3 bags of birthday hats. Each bag has 15 hats. Miggy accidentally tore off 5 hats. During the party, only 25 hats were used. How many hats were unused?


Reasoning and answer: Sonja uses 2 ounces of oil for 8 ounces of peanuts to make 2 + 8 = 10 ounces of peanut butter. Her last batch weighed 20 ounces, so she made 20 / 10 = 2 times her ratio. Thus, she used 2 * 2 = 4 ounces of oil.
The answer: 4
What was the question?
Question: Sonja makes her own peanut butter with peanuts and oil in a blender. She uses a ratio of two ounces of oil to smooth out every eight ounces of peanuts. Her last batch of peanut butter weighed 20 ounces. How many ounces of oil did she use?


After keeping 15 cards, Rick had 130 cards - 15 cards = 115 cards left. The total number of cards given by Rick to his 8 friends was 8 friends x 12 cards / friend = 96 cards. There were 2 sisters x 3 cards / sister = 6 cards given to Rick's sisters. So, there were 96 cards + 6 cards = 102 cards left after Rick gave Miguel some cards. Therefore, 115 cards - 102 cards = 13 cards were given to Miguel.
The answer: 13
Reverse engineering the question: Rick has 130 cards. He decided to only keep 15 cards and so he gave Miguel some of the cards. Then, he saw 8 friends and decided to give them 12 cards each, and the remaining cards were given equally to his 2 sisters. If each of Rick's sisters got 3 cards, how many cards did Rick give to Miguel?


Reasoning and answer: One lap corresponds to the perimeter of a rectangle of 100 m length and 50 m width: 2 * 100 + 2 * 50 = 300 metres. Each player has to do six turns of the field, so runs 6 * 300 = 1800 meters.
The answer: 1800
What was the question?
Question: The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters?


Reasoning and answer: First figure out how much water beans take by multiplying the water use for corn by 2: 20 gallons / acre * 2 = 40 gallons / acre. Next, calculate Bob's water use by multiplying each plant's water use per acre by the number of acres he planted, then adding up the total water use for all three crops: 3 * 20 + 9 * 80 + 12 * 40 = 1260. Now do the same thing for Brenda: 6 * 20 + 7 * 80 + 14 * 40 = 1240. And do the same thing for Bernie: 2 * 20 + 12 * 80 = 1000. Now add up each farmer's water use to find the total water use: 1260 + 1240 + 1000 = 3500. Now divide Bob's water use by the total water use and multiply by 100 to find what percentage of the water he used: 1260 / 3500 * 100 = 36%.
The answer: 36
What was the question?
Question:
Cary is an engineer in charge of designing an irrigation system for three farmers. Farmer Bob grows 3 acres of corn, 9 acres of cotton, and 12 acres of beans. Farmer Brenda grows 6 acres of corn, 7 acres of cotton, and 14 acres of beans. Farmer Bernie grows 2 acres of corn and 12 acres of cotton. If corn takes 20 gallons of water an acre, cotton takes 80 gallons of water an acre, and beans take twice as much water as corn, what percentage of the total water used will go to Farmer Bob's farm?