Reasoning and answer: A circle with a radius of 14 feet has a diameter of 2 * 14 = 28 feet. A six - inch pencil is 6 / 12 = 0.5 feet long. Thus, across a 28 - foot diameter, one can place 28 / 0.5 = 56 6 - inch pencils.
The answer: 56
What was the question?
Question: If a circle has a radius of 14 feet, how many 6-inch pencils can be placed end-to-end across the diameter of the circle?


Deshaun read 19,200 pages because 60 x 320 = 19,200. The person closest to him read 14, 400 pages because 19,200 x .75 = 14,400. They read 180 pages a day because 14, 400 / 80 = 180.
The answer: 180
Reverse engineering the question: DeShaun always wins the award in English class for reading the most books over the summer. This year is no different. Summer break is 80 days long. When he arrives, he notifies the teacher that he read 60 books over the summer. Each book averaged 320 pages long. The person closest to him read 75% as much as he did. How many pages did the second person read on average each day of break?


Reasoning and answer: Daliah = 17.5 pounds. Dewei + 17.5 - 2 = 15.5 pounds. Zane = 4 * 15.5 = 62 pounds. Zane picked up 62 pounds of garbage.
The answer: 62
What was the question?
Question: Daliah picked up 17.5 pounds of garbage. Dewei picked up 2 pounds less than Daliah. Zane picked up 4 times as many pounds of garbage as Dewei. How many pounds of garbage did Zane pick up?


The cost of each key chain in packs of 10 for $20 is $20 / 10 = $2. The cost of each key chain in packs of 4 for $12 is $12 / 4 = $3. There is a price difference of $3 - $2 = $1 per key chain between the two choices. By buying 20 key chains at a lower price, Matt can save 20x$1 = $20.
The answer: 20
Reverse engineering the question: Matt can buy key chains in packs of 10 for $20 or in packs of 4 for $12. How much money can he save if he chooses to buy 20 key chains at a lower price?


Reasoning and answer: After Jeff comes by, Tim has 22 - 6 = 16 cans left. Tim buys 16 / 2 = 8 more cans. Tim has 16 + 8 = 24 cans in the end.
The answer: 24
What was the question?
Question: Tim has 22 cans of soda. Jeff comes by, and takes 6 cans of soda from Tim. Tim then goes and buys another half the amount of soda cans he had left. How many cans of soda does Tim have in the end?


Reasoning and answer: If n is the number of $20 bills then 2n is the number of $10 bills. So the equation will be $10(2n) + $20n = $120. By combining like terms, the equation becomes 40n = 120. So, the value of n which represents the number of $20 bills is 120 / 40 = 3.
The answer: 3
What was the question?
Question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Karen's class fund contains only $10 and $20 bills, which amount to $120. The number of $10 bills is twice as many $20 bills. How many $20 bills do they have in their fund?