Appearance
question:What is the total amount Sebastian paid for the art exhibit tickets for himself and his parents, considering that the tickets were 44 per person and an additional 18 service fee was charged for the online transaction?
answer:Sebastian bought tickets for himself and his parents, so he bought a total of 1 + 2 = 3 tickets. Each ticket costs 44, so the total cost of the tickets is 3 x 44 = 132. On top of the ticket cost, there was an additional 18 service fee for the online transaction. Therefore, the total amount Sebastian paid is 132 + 18 = 150. 150 The answer is: 150
question:Jessie won 3 times as many athletic awards as his buddy Scott, who won x awards. The best athlete at the rival high school won twice as many awards as Jessie. How many awards did the rival win? If we know the answer to the above question is 24, what is the value of unknown variable x?
answer:We know that Jessie won 3 times as many athletic awards as Scott, so Jessie won 3*x awards. The best athlete at the rival high school won twice as many awards as Jessie, so the rival won 2*(3*x) awards. The total number of awards won by the rival is 2*(3*x) = 6*x. We are given that the rival won 24 awards, so we can write: 6*x = 24. Solving for x, we get: x = 4. The value of x is 4. 4 The answer is: 4
question:A row of houses all share a community space where they put up their clotheslines. There are x clotheslines for every house on the street. On the street, there are a total of 11 children and 20 adults. Each child currently has 4 items of clothing on the clotheslines and each adult currently has 3 items of clothing on the clotheslines. If each clothesline can hold 2 items of clothing and all of the clotheslines are full, There are 26 houses on the street. What is the value of unknown variable x? What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of clotheslines for every house on the street. Let's break down the information given: Number of children: 11 Number of adults: 20 Number of items of clothing per child: 4 Number of items of clothing per adult: 3 Number of items of clothing per clothesline: 2 Total number of houses on the street: 26 We can set up the equation as follows: (Number of children * Number of items of clothing per child) + (Number of adults * Number of items of clothing per adult) = Total number of items of clothing (11 * 4) + (20 * 3) = Total number of items of clothing 44 + 60 = Total number of items of clothing 104 = Total number of items of clothing Since each clothesline can hold 2 items of clothing and all of the clotheslines are full, we can set up another equation: Total number of items of clothing = (Number of houses * x) * (Number of items of clothing per clothesline) 104 = (26 * x) * 2 Let's simplify and solve for x: 104 = 52x To isolate x, we divide both sides of the equation by 52: 104 / 52 = 52x / 52 2 = x The value of x is 2. 2 The answer is: 2
question:Trisha received scores of 88, 73, and 70 on her first three tests. After taking two more tests, the average score for all five tests was 81. Each test score was below 90, and all of Trisha's test scores were different integers. Arrange Trisha's five test scores in descending order, separated by commas.
answer:If the average of five test scores is 81, then the sum of the five scores is 5 times 81 = 405. We know that the sum of Trisha's first three scores is 88 + 73 + 70 = 231. So, the sum of her last two scores is 405 - 231 = 174. Since each score is below 90, the two scores must be 89 and 85 (the only pair of integers that add up to 174 and are below 90). Arranging the scores in descending order, we have boxed{89, 88, 85, 73, 70}.The answer is: 89,88,85,73,70