Reasoning and answer: Elyse gave half of her 100 pieces of gum, or 100 / 2 = 50 pieces of gum, to Rick. Rick gave half of his 50 pieces of gum, or 50 / 2 = 25 pieces of gum, to Shane. Shane had 25 pieces of gum and chewed 11, so he had 25 – 11 = 14 pieces of gum left.
The answer: 14
What was the question?
Question: Elyse had 100 pieces of gum. She gave half to her brother Rick. He gave half of his to his friend Shane. Shane chewed 11 pieces of gum. How many pieces does Shane have left?


The amount in taxes Dorothy needs to pay is 18 / 100 * 60000 = $10800. So she is going to be left with 60000 - 10800 = $49200.
The answer: 49200
Reverse engineering the question: Dorothy earns $60000 a year from her work. She needs to pay 18% of this amount in taxes. How much money will she have left after she pays the taxes?


Reasoning and answer: Five bags of chips cost $5 x 3 = $15. So each bag of chips costs $15 / 5 = $3.
The answer: 3
What was the question?
Question: Three friends agreed to pay an equal amount of money for buying 5 bags of chips. If they each pay $5, how much does each bag of chips cost?


First find how many inches the hem is by multiplying the length in feet by the number of inches per foot: 3 feet * 12 inches / foot = 36 inches. Then divide the length in inches by the length of each stitch to find how many stitches Jenna makes: 36 inches / .25 inches = 144 stitches. Then divide the number of stitches by Jenna's stitching rate to find how long it takes her: 144 stitches / 24 stitches / minute = 6 minutes.
The answer: 6
Reverse engineering the question: Jenna is hemming her prom dress. The dress's hem is 3 feet long. Each stitch Jenna makes is 1/4 inch long. If Jenna makes 24 stitches per minute, how many minutes does it take Jenna to hem her dress?


Reasoning and answer: If 1 / 10 of the man's lot is equal to $460, then the man's land is worth $460 x 10 = $4600. Since 1 / 2 of the whole lot is worth $4600, then the whole lot is worth $4600 x 2 = $9200.
The answer: 9200
What was the question?
Question: A man owned 1/2 of a lot. He sold 1/10 of his share for the amount of $460. What is the worth of the entire lot?


Reasoning and answer: For every acre of grass, the farmer can harvest 560 / 5 = 112 bales of hay each month. This year, the farmer has 7 + 5 = 12 acres of grass. He can expect to harvest 12 x 112 = 1344 bales of hay per month. The total hay production this year is 1344 * 12 = 16128. From September to December, the farmer would have to feed his horses for a total of 30 + 31 + 30 + 31 = 122 days. Each day his horse eats a total of 3 * 9 = 27 bales of hay. For the 122 days, the horses will eat a total of 27 * 122 = 3294 bales. The total number of bales remaining will be 16128 - 3294 = 12834.
The answer: 12834
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.
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A hay farmer harvested 560 bales of hay from 5 acres of grass per month last year. This year, he planted an additional 7 acres of grass. If the farmer also owns 9 horses and each horse consumes 3 bales of hay a day, how many bales of hay would the farmer have left by the end of December if he starts feeding them this year's hay beginning the first day of September?