Reasoning and answer: Each of the long puzzles took 3 * 10 = 30 minutes to solve. So he spent 30 * 2 = 60 minutes solving them. That means he spent 60 + 10 = 70 minutes solving puzzles.
The answer: 70
What was the question?
Question: Tony loved to solve difficult pen and paper puzzles. He did a warm-up puzzle that only took 10 minutes and after that he did 2 puzzles that each took 3 times as long. How long did he spend solving puzzles?


First figure out how many tiles are in one row by dividing the kitchen's width by each tile's width: 48 inches / 6 inches / tile = 8 tiles in one row. Then figure out how many rows of tiles there are by dividing the kitchen's height by each tile's height: 72 inches / 6 inches / tile = 12 rows of tiles. Then multiply the number of rows by the number of tiles per row to find the total number of tiles Kimiko needs to buy: 8 tiles / row * 12 rows = 96 tiles.
The answer: 96
Reverse engineering the question: Kimiko is retiling her kitchen floor. Each tile is 6 square inches. If her kitchen is 48 inches by 72 inches, how many tiles does Kimiko need to buy?


Reasoning and answer: First find the number of cheaper coats Karen will have to purchase over 30 years: 30 years / 5 years / coat = 6 coats. Then multiply that number by the cost of one cheaper coat to find the total cost of that option: 6 coats * $120 / coat = $720. Then find the number of more expensive coats Karen will have to purchase over 30 years: 30 years / 15 years / coat = 2 coats. Then multiply that number by the cost of one expensive coat to find the total cost of that option: 2 coats * $300 / coat = $600. Then subtract the total cost of the more expensive coats from the total cost of the less expensive coats to find the difference: $720 - $600 = $120.
The answer: 120
What was the question?
Question: Karen is considering her winter coat options. One coast costs $300 and will last for 15 years. The other coat costs $120 and will last for five years. How much money would Karen save over 30 years by buying the more expensive cost?


Let X be the number of students last year. The number of students this year is X + X * 20% = 960. Combining like terms, we get X * 1.2 = 960. Dividing both sides by 1.2, we get X = 800 students.
The answer: 800
Reverse engineering the question: In my school, the number of students has increased by 20% this year. The number of students this year is 960. How many students were there last year?


Reasoning and answer: Machine A can put caps on 12 x 10 = 120 bottles in 10 minutes. Machine B can put caps on 12 - 2 = 10 bottles in 1 minute. So in 10 minutes, machine B can put caps on 10 x 10 = 100 bottles. Machine c can put caps on 10 + 5 = 15 bottles in 1 minute. So in 10 minutes, machine C can put caps on 15 x 10 = 150 bottles. Therefore, the three machines can put caps on 120 + 100 + 150 = 370 bottles in 10 minutes.
The answer: 370
What was the question?
Question: There are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes?


Reasoning and answer: If Zig wrote 60 books, four times as many books as Flo, Flo wrote 60 / 4 = 15 books. Together, they wrote 60 + 15 = 75 books.
The answer: 75
What was the question?
Question:
Zig wrote four times as many books as Flo. If Zig wrote 60 books, how many books did they write altogether?