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)?
Answer: 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 is 10000.
[Question]Gigi is baking cookies. The recipe for 1 batch of cookies calls for 2 cups of flour. She bakes 3 batches of cookies. If her bag of flour contains 20 cups of flour, how many more batches of cookies could Gigi make in the future with the remaining amount of flour?
[Answer]For 3 batches of cookies, Gigi uses 3 * 2 = 6 cups of flour. The amount of flour remaining in the bag is 20 - 6 = 14 cups of flour. Since 1 batch uses 2 cups of flour, Gigi can make 14 / 2 = 7 more batches of cookies. The answer is 7.
Q: The chicken crossed the road to get to the other side twice for the thrill of it. The first time, it had to dodge 23 speeding cars. The second time, a person tried to catch it and accidentally pulled out twice as many feathers as the number of cars the chicken had dodged. The chicken had 5263 feathers before its thrill-seeking road crossings. How many feathers did it have afterward?
A: The chicken lost 23 * 2 = 46 feathers on its second road crossing. Thus, it had 5263 - 46 = 5217 feathers after crossing the road twice. The answer is 5217.
Question: Nancy wants to figure out if she can afford to apply to the University of Michigan. The tuition costs $22,000 per semester. Her parents can pay half the cost, and each semester Nancy can get a scholarship for $3,000 and a student loan for twice her scholarship amount. If Nancy can work a total of 200 hours during the semester, how many dollars does she have to make per hour to pay the rest of the tuition?
Answer: First figure out how much Nancy has to pay after her parents pay their half by dividing the tuition by 2: $22,000 / 2 = $11,000. Then figure out how much Nancy's student loan is by multiplying her scholarship amount by 2: $3,000 * 2 = $6,000. Now subtract the amounts of Nancy's scholarship and loan to find out how much tuition she has to pay by working: $11,000 - $3,000 - $6,000 = $2,000. Now divide the remaining unpaid tuition by the number of hours Nancy works to find out how much she needs to make per hour: $2,000 / 200 hours = $10 / hour. The answer is 10.
[Question]There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there?
[Answer]There were 10000 - 7000 = 3000 women and children. There were 3000 (5 + 1) = 500 women. There are 500 5 = 2500 children at the basketball match. The answer is 2500.
[Question]Arven bought five puppies for a total cost of $800. Three puppies are on sale for $150 each. How much does each of those two other puppies cost if they cost the same?
[Answer]
Three puppies on sale cost $150 x 3 = $450. The other two puppies cost $800 - $450 = $350. So, each of those two other puppies cost $350 / 2 = $175. The answer is 175.