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question:James can make 4 hats out of one yard of velvet. He needs three yards of velvet to make a cloak. How much velvet does he need to make 6 cloaks and 12 hats?
answer:To make one cloak, James needs 3 yards of velvet. To make 6 cloaks, he will need 6 * 3 = 18 yards of velvet. To make one hat, James needs 1/4 yard of velvet. To make 12 hats, he will need 12 * (1/4) = 3 yards of velvet. Therefore, in total, James will need 18 + 3 = 21 yards of velvet. 21 The answer is: 21
question:Ryan's party was 4 times as huge as Taylor's birthday party. If both parties combined had 240 people, how many people were there at Ryan's party?
answer:Let's assume the number of people at Taylor's party is x. According to the given information, Ryan's party was 4 times as huge as Taylor's party, so the number of people at Ryan's party is 4x. The total number of people at both parties combined is x + 4x = 5x. We also know that the total number of people at both parties combined is 240. Therefore, 5x = 240. To find x, we divide both sides of the equation by 5: x = 240/5 = 48. So, the number of people at Taylor's party is x = 48. And the number of people at Ryan's party is 4x = 4*48 = 192. Therefore, there were 192 people at Ryan's party. 192 The answer is: 192
question:Raul had 87 to spare so he decided to go to the bookshop. Raul bought 8 comics, each of which cost 4. How much money does Raul have left?
answer:Raul bought 8 comics for a total cost of 8 * 4 = 32 Raul had 87 to start with and spent 32, so he has 87 - 32 = 55 left. 55 The answer is: 55
question:lly wants to plant a wall of privacy trees along her fence line. Her fence is 25 yards long. At maturity, the trees she wants to plant will measure 1.5 feet wide. Right now, these trees are on sale for x apiece. How much will it cost her to plant a row of the trees to run the length of her fence? If we know the answer to the above question is 400, what is the value of unknown variable x?
answer:Holly's fence is 25 yards long. At maturity, the trees she wants to plant will measure 1.5 feet wide. To calculate the number of trees needed to cover the length of the fence, we need to convert the length of the fence from yards to feet. There are 3 feet in a yard, so the length of the fence in feet is 25 * 3 = 75 feet. Since each tree is 1.5 feet wide, the number of trees needed is 75 / 1.5 = 50 trees. The cost of each tree is x. The total cost of planting a row of the trees is the cost per tree multiplied by the number of trees: 50 * x. We are given that the total cost is 400, so we can write: 50x = 400. Dividing both sides by 50, we get: x = 8. The value of x is 8. 8 The answer is: 8