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question:Rick held a fundraiser and is figuring out who still owes money. He marked on a sheet how much everyone has promised to contribute, but he forgot to note how much some people had actually paid. Altogether, everyone has promised to contribute 400, and Rick has actually received 285. Sally, Amy, Derek, and Carl all still owe money. Sally and Carl both owe equal amounts, Amy owes 30, and Derek owes half as much as Amy. How much, in dollars, do Sally and Carl each owe?
answer:Everyone has promised to contribute 400, and Rick has received 285. Therefore, the total amount still owed is 400 - 285 = 115. Amy owes 30, and Derek owes half as much as Amy, so Derek owes 30 / 2 = 15. Sally, Amy, Derek, and Carl all still owe money, and Sally and Carl both owe equal amounts. Let's say each of them owes X dollars. So, the total amount owed by Sally and Carl is 2X dollars. The total amount owed by all four people is X + X + 30 + 15 = 2X + 45. Therefore, 2X + 45 = 115. Subtracting 45 from both sides of the equation, we get 2X = 70. Dividing both sides of the equation by 2, we find that X = 35. Therefore, Sally and Carl each owe 35. 35 The answer is: 35
question:There are 14 girls, 11 boys, and their parents at a park. If they split into 3 equally sized playgroups, each group contains 25 people. How many parents were at the park?
answer:Each playgroup contains 25 people, so there are a total of 3 x 25 = 75 people in the playgroups. Out of these 75 people, there are 14 girls and 11 boys, so there are 14 + 11 = 25 children in total. If we subtract the number of children from the total number of people, we can find the number of parents: 75 - 25 = 50 parents. Therefore, there were 50 parents at the park. 50 The answer is: 50
question:Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was x blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, Thomas used 55 blocks in all. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the height of the fourth stack. Let's break down the information given: Height of the first stack: 7 blocks Height of the second stack: 7 + 3 = 10 blocks Height of the third stack: 10 - 6 = 4 blocks Height of the fourth stack: 4 + x blocks Height of the fifth stack: 2 * 10 = 20 blocks Total number of blocks used: 55 blocks We can set up the equation as follows: Height of the first stack + Height of the second stack + Height of the third stack + Height of the fourth stack + Height of the fifth stack = Total number of blocks used 7 + 10 + 4 + (4 + x) + 20 = 55 Let's simplify and solve for x: 45 + x = 55 To isolate x, we subtract 45 from both sides of the equation: 45 + x - 45 = 55 - 45 x = 10 The value of x is 10. 10 The answer is: 10
question:On March 1st the sun sets at 6 PM. Every day after the sun sets x minutes later. It is 6:10 PM and 40 days after March 1st. How many minutes until the sun sets? If we know the answer to the above question is 38, what is the value of unknown variable x?
answer:We know that on March 1st, the sun sets at 6 PM. Every day after that, the sun sets x minutes later. It is currently 6:10 PM, which is 10 minutes after 6 PM. We are also given that it is 40 days after March 1st. So, the total number of minutes the sun sets later is 40 * x. To find out how many minutes until the sun sets, we can subtract the current time (6:10 PM) from the time the sun sets (6 PM + 40 * x minutes). The difference between the two times should be 38 minutes, so we can write: (6 PM + 40 * x minutes) - (6:10 PM) = 38 minutes. Simplifying the left side, we get: (6 PM + 40 * x minutes) - (6 PM + 10 minutes) = 38 minutes. The 6 PM cancels out, and we are left with: 40 * x - 10 = 38. Adding 10 to both sides, we get: 40 * x = 48. Dividing both sides by 40, we get: x = 1.2. The value of x is 1.2. 1.2 The answer is: 1.2