Reasoning and answer: Each round 2 + 3 = 5 buckets will be filled. It will take 110 / 5 = 22 rounds.
The answer: 22
What was the question?
Question: George and Harry want to fill a pool with buckets. George can carry two buckets each round, and Harry can carry three buckets each round. If it takes 110 buckets to fill the pool, how many rounds will it take to fill the pool?


First find Janet's total earnings from the exterminator work: $70 / hour * 20 hours = $1400. Then find the total number of pounds of sculpture she sells: 5 pounds + 7 pounds = 12 pounds. Then find her total earnings from the sculptures: 12 pounds * $20 / pound = $240. Then add that amount to the amount she makes as an exterminator to find her total earnings: $240 + $1400 = $1640.
The answer: 1640
Reverse engineering the question: Janet works as an exterminator and she also sells molten metal casts of fire ant nests on the Internet. Janet gets paid $70 an hour for exterminator work and makes $20/pound on her ant nest sculptures. If she does 20 hours of exterminator work and sells a 5-pound sculpture and a 7-pound sculpture, how much money does she make?


Reasoning and answer: The second dog carried off 1 less bone than the first dog, or 3 - 1 = 2 bones. The third dog carried off twice as many bones as the third dog, or 2 * 2 = 4 bones. The fifth dog carried off twice the number of bones as the fourth dog carried, or 2 * 1 = 2 bones. Therefore, the original pile of bones contained 3 + 2 + 4 + 1 + 2 = 12 bones.
The answer: 12
What was the question?
Question: A pack of dogs found a pile of bones in the dumpster behind the butcher shop. One by one, the dogs crawled into the dumpster, grabbed a mouthful of bones, and ran off with their newfound treasure. In all, there were 5 dogs. The first dog carried off 3 bones. The second dog carried off 1 less bone than the first dog. The third dog carried off twice as many as the second dog. The fourth dog carried off one bone, and the fifth dog carried off twice the number of bones as the fourth dog carried, leaving no remaining bones in the dumpster. How many bones were in the original pile of bones?


First find the number of stairs the players climb up and down each time: 32 stairs * 2 = 64 stairs. Then multiply the number of stairs per run by the number of runs to find the total number of stairs the players climb: 64 stairs / run * 40 runs = 2560 stairs. Then multiply the number of stairs by the number of calories each stair burns: 2560 stairs * 2 calories / stair = 5120 calories.
The answer: 5120
Reverse engineering the question: The football coach makes his players run up and down the bleachers 40 times. Each time they run up and down 32 stairs one way. If each stair burns 2 calories, how many calories does each player burn during this exercise?


Reasoning and answer: Over 5 of the floors, it takes the elevator 5 floors * 5 minutes per floor = 25 minutes to lower. Over the final 5 floors, it takes the elevator 5 floors * 16 minutes per floor = 80 minutes to lower. So in total, the elevator takes 15 minutes in the first half + 25 minutes in the next five floors + 80 minutes in the final five floors = 120 minutes to lower to the bottom. This is the same as 120 minutes / 60 minutes per hour = 2 hours.
The answer: 2
What was the question?
Question: Michael is stuck in an elevator that is slowly moving to the bottom floor. The elevator needs to move down 20 floors to reach the bottom. It takes 15 minutes for the elevator to travel down the first half of the floors. The elevator then takes 5 minutes per floor to travel down the next 5 floors. It then takes 16 minutes per floor for the elevator to finish traveling down the final 5 floors. In hours, how long did it take for the elevator to reach the bottom?


Reasoning and answer: The first 8 years cost 8 * 10,000 = $80,000. The next 18 - 8 = 10 years. They cost 10000 * 2 = $20,000 per year. So they cost 20,000 * 10 = $200,000. So the cost was 200,000 + 80,000 = $280,000. Adding in the cost of tuition brings the cost to 250,000 + 280,000 = $530,000. Since John pays for half the cost of raising the child, he pays $530000 / 2 = 265000.
The answer: 265000
What was the question?
Question:
John pays for half the cost of raising a child. It cost $10,000 a year for the first 8 years and then twice that much per year until the child is 18. University tuition then costs $250,000. How much did it cost?