Reasoning and answer: Ivory has 8 + 4 = 12 riddles. Taso has 12 * 2 = 24 riddles.
The answer: 24
What was the question?
Question: Ivory got four more riddles than Josh did. Taso got twice as many riddles as Ivory did. If Josh has 8 riddles, how many riddles does Taso have?


Let X be the price of the shirt. The price of the coat is X * 3. The total amount is X + X * 3 = $600. Combining like terms, we get X * 4 = $600. Dividing both sides by 4, we get X = $600 / 4 = $150.
The answer: 150
Reverse engineering the question: Emily bought a shirt and a coat for $600. What does the shirt cost if it is one-third the price of the coat?


Reasoning and answer: The salesman sold 17 bags for 17 bags x $18 / bag = $306. He sold 10 more for 10 bags x $25 / bag = $250. Thus far he has sold 17 bags + 10 bags = 27 bags. Therefore he sold 48 bags - 27 bags = 21 bags for $22 each. 21 bags were sold for 21 bags x $22 / bag = $462. In total the salesman made $306 + $250 + $462 = $1018. The salesman made $1018 - $576 = $442 in profit.
The answer: 442
What was the question?
Question: A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, 10 were sold to a department store for $25 each. If the remainder were sold for $22 each. How much was the salesman's profit?


There are 4 quarters in a dollar so in quarters, each machine holds 80 quarters / 4 = $20. There are 10 dimes in a dollar so in dimes, each machine holds 100 dimes / 10 = $10. Each machine therefore holds $20 in quarters + $10 in dimes = $30. So Erin must therefore have $90 total income / $30 income per machine = 3 machines.
The answer: 3
Reverse engineering the question: Erin runs her own launderette and needs to cash in the change from the machines. There are 80 quarters and 100 dimes in every machine in the launderette. When Erin empties all of the machines and cashes in the change, she has a total of $90. She had no money before she emptied the machines and each machine held the same amount of money. How many machines are in the launderette?


Reasoning and answer: During the two weeks, Matt rode a total of 16 times + 8 times = 24 times. Before his visit, Maurice had ridden 24 times / 3 = 8 times.
The answer: 8
What was the question?
Question: Maurice had only been horseback riding a handful of times in his life. His best friend, Matt, goes horseback riding regularly. When Maurice went to visit Matt for two weeks, he rode another 8 times. Each time, Matt went with him. Meanwhile, besides the times that Matt accompanied Maurice, he rode an additional 16 times. If the total number of times Matt rode during that two weeks is three times the number of times Maurice had ridden before his visit, how many times had Maurice been horseback riding before visiting Matt?


Reasoning and answer: First find the number of green straws each mat needs: 30 orange straws / 2 orange straws / green straw = 15 green straws. Then find the total number of straws in each mat: 15 straws + 20 straws + 30 straws = 65 straws. Then multiply that number by the number of mats to find the total number of straws Ginger needs: 65 straws / mat * 10 mats = 650 straws.
The answer: 650
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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Ginger is weaving mats out of colored straw. Each mat takes 20 red straws, 30 orange straws, and half as many green straws as orange straws. How many straws does she need to make 10 mats?