Appearance
question:a spelling bee 50% of the students were eliminated after the first round. Only frac{1}{3} of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest?
answer:After the first round, 50% of the students were eliminated. This means that 50% of the students remained, or 100% - 50% = 50%. After the second round, frac{1}{3} of the remaining students were still in the contest. This means that frac{1}{3} of the students remained, or 50% times frac{1}{3} = frac{50}{3}%. We know that frac{50}{3}% of the students is equal to 24 students. Setting up a proportion, we have frac{frac{50}{3}%}{100%} = frac{24}{x}, where x is the total number of students. Simplifying the left side of the equation, we have frac{50}{3} times frac{1}{100} = frac{1}{6}. Multiplying both sides of the equation by x, we have frac{1}{6}x = 24. Dividing both sides of the equation by frac{1}{6}, we have x = 24 times 6 = boxed{144}. The answer is: 144
question:Sidney does 20 jumping jacks on Monday, 36 on Tuesday, 40 on Wednesday, and 50 on Thursday. Brooke does x times as many jumping jacks as Sidney. How many jumping jacks did Brooke do? If we know the answer to the above question is 438, what is the value of unknown variable x?
answer:Sidney does 20 jumping jacks on Monday, 36 on Tuesday, 40 on Wednesday, and 50 on Thursday. The total number of jumping jacks Sidney does is 20 + 36 + 40 + 50 = 146. Brooke does x times as many jumping jacks as Sidney, so Brooke does x * 146 jumping jacks. We are given that Brooke did 438 jumping jacks, so we can write: x * 146 = 438. Dividing both sides by 146, we get: x = 3. The value of x is 3. 3 The answer is: 3
question:Violet is trying to figure out whether she should buy a family pass to the aquarium for 120 or pay for tickets separately. If adult tickets cost 35 and children's tickets cost 20, and Violet's family has 1 adult and 6 children, how much will she pay if she buys separate tickets?
answer:Violet's family has 1 adult, so she will need to buy 1 adult ticket for 35. Violet's family has 6 children, so she will need to buy 6 children's tickets for 20 each. The total cost of the children's tickets will be 6 * 20 = 120. Adding the cost of the adult ticket and the children's tickets, Violet will pay 35 + 120 = 155. Therefore, if Violet buys separate tickets, she will pay 155. 155 The answer is: 155
question:Jake can wash his car with 1 bottle of car wash soap 4 times. If each bottle costs 4.00, and he washes his car once a week for x weeks, how much does he spend on car soap? If we know the answer to the above question is 20, what is the value of unknown variable x?
answer:Jake can wash his car with 1 bottle of car wash soap 4 times, which means he needs 1/4 bottle of car wash soap per car wash. If each bottle costs 4.00, then the cost of car wash soap per car wash is 4.00 * (1/4) = 1.00. If Jake washes his car once a week for x weeks, then he will spend 1.00 * x on car soap. We are given that he spends 20 on car soap, so we can write: 1.00 * x = 20. Solving for x, we get: x = 20. The value of x is 20. 20 The answer is: 20