There are 10000m^2 in each hectare, so 3 hectares contains 3 * 10000 = 30000m^2 of land. 30000m^2 is divided among 8 sons so each son will get 30000 / 8 = 3750m^2. In every 3750m^2, there are 3750 / 750 = 5 portions of 750m^2 areas of land. Each son can make 5 * $500 = $2500 every 3 months from cultivating their share. In one year there are 12 months so each son can make $2500 up to 12 / 3 = 4 times in a year. Each son can make a total of $2500 * 4 = $10000 in a year.
The answer: 10000
Reverse engineering the question: A man divides 3 hectares of land evenly among his 8 sons. If every 750m^2 of this land can be used to make a profit of $500 from every 3 months of commercial farming, how much can each son make if they cultivate their share of the land for one year(1 hectare is equal to 10000 m^2)?


Reasoning and answer: The shoebox is 24 square inches because 4 x 6 = 24. The block is 16 square inches because 4 x 4 = 16. There are 8 square inches uncovered because 24 - 16 = 8.
The answer: 8
What was the question?
Question: Tara has a shoebox that is 4 inches tall and 6 inches wide. She puts a square block inside that is 4 inches per side. How many square inches of the box are left uncovered?


If the rent is half what she spends on food and travel expenses, she spends 1200 * 2 = $2400 on food and travel costs. When her friend moved in and shared the rent costs with her, she started paying 1 / 2 * 1200 = $600 in rent costs. Her total monthly expenses is now 600 + 2400 = $3000. When she deducts her monthly expenses from her salary, she has $5000 - $3000 = $2000 remaining.
The answer: 2000
Reverse engineering the question: Kathryn moved to a new city for the new job she had landed two weeks ago. Her rent was $1200, 1/2 of what she spent on food and travel expenses in a month. Luckily, she found a new friend Shelby, who moved in with her to share the rent. If her salary was $5000 per month, how much money remained after her expenses?


Reasoning and answer: The team's total number of goalies and defenders is 3 + 10 = 13. The number of midfielders in the team is twice the number of defenders, which means there are 2 * 10 = 20 defenders in the team. The total number of players in the team playing the positions of goalies, defenders and midfielders is 20 + 13 = 33. If there are 40 players in the team, then the number of strikes in the team is 40 - 33 = 7.
The answer: 7
What was the question?
Question: A soccer team has three goalies and ten defenders. The team also has twice as many midfielders as defenders, and the rest of the players are strikers. If the team has 40 players, how many strikers are in the team?


Larry scored 3 x 3 = 9 marks. Danny scored 9 + 5 = 14 marks. The total marks scored by the three students is 3 + 9 + 14 = 26.
The answer: 26
Reverse engineering the question: Keith scored 3 points on the math test. Larry scored 3 times as many marks. Danny scored 5 more marks than Larry. Find the total amount of marks scored by the three students.


Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47.
The answer: 47
Reverse engineering the 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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Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?