Q: In a week, 450 cars drove through a toll booth. Fifty vehicles went through the toll booth on Monday and the same number of vehicles drove through the toll booth on Tuesday. On each of Wednesday and Thursday, twice the number of cars that passed through the toll booth on Monday went through the toll booth. If, for the remaining of the days of the week, an equal number of vehicles passed through the toll booth, calculate the total number of cars that passed the toll both in each of the remaining days.
A: There were 50 + 50 = 100 cars that went through the toll booth on Monday and Tuesday. On Wednesday, the number of cars that went through the toll booth is 2 * 50 = 100. The exact number of cars passed through the toll booth on Thursday as Wednesday, giving a total of 100 + 100 = 200 vehicles going through the toll booth in the two days. There were 200 + 100 = 300 cars that passed through the toll booth from Monday to Thursday. If the total number of cars passed through the toll booth in the week was 450, then 450 - 300 = 150 vehicles went through the toll booth on the remaining days. Since there were an equal number of cars in the toll booth on each of the remaining days, there were 150 / 3 = 50 cars on each day. The answer is 50.
Question: The rim of a standard basketball hoop is 10 feet above the ground. Additionally, most experts will say that a player must be able to reach at least 6 inches above the rim to dunk a basketball. Suppose a basketball player is 6 feet tall and can reach 22 inches above their head using the wingspan of their arms. How high must this player be able to jump to reach 6 inches above the rim to dunk a basketball?
Answer: In inches, the height of the rim is 10 * 12 = 120 inches. Thus, the height that the player needs to be able to reach is 120 + 6 = 126 inches. Without jumping, the player can reach their height plus an additional 22 inches, or a total of 6 * 12 + 22 = 94 inches. Therefore, the player needs to jump 126 - 94 = 32 inches to reach the height required to dunk a basketball. The answer is 32.
[Question]Bill and Joan both work for a library. 5 years ago, Joan had 3 times as much experience as Bill. Now she has twice as much experience as Bill. How many years of experience does Bill have now?
[Answer]Let b be Bill's years of experience and j be Joan's years of experience. We know that j - 5 = 3(b - 5) and j = 2b. Substituting the second equation into the first equation, we get 2b - 5 = 3(b - 5). Multiplying through the parentheses, we get 2b - 5 = 3b - 15. Adding 15 to both sides, we get 2b + 10 = 3b. Subtracting 2b from both sides, we get 10 = b. The answer is 10.
Q: A school has 100 students. Half of the students are girls, the other half are boys. 20% of the girls have dogs at home and 10% of the boys have dogs at home. How many students own dogs?
A: Out of 100 students, half are girls and half are boys so there are 100 / 2 = 50 girls. There are 50 girls out of 100 students means there are 100 - 50 = 50 boys. 20% of the 50 girls have dogs so they have .20 * 50 = 10 dogs. 10% of the 50 boys have dogs so they have .10 * 50 = 5 dogs. The girls have 10 dogs and the boys have 5 dogs so together, they have 10 + 5 = 15 dogs. The answer is 15.
Question: It’s spring! The gardener at Parc Municipal orders flowers. He takes 250 tulips, 375 carnations and 320 roses. Each flower is sold for 2€. Calculate the total expenses.
Answer: First we calculate the number of flowers: 250 + 375 + 320 = 945€. Then the expense: 945 X 2 = 1890€. So, the total expenditure is €1890. The answer is 1890.
Q: Paul uses 1 can of frosting to frost a layer cake. He uses a half can of frosting for a single cake, or a single pan of brownies, or a dozen cupcakes. For Saturday, he needs to have 3 layer cakes, 6 dozen cupcakes, 12 single cakes and 18 pans of brownies ready and frosted for customer pick up. How many cans of frosting will he need?
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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He needs 1 can of frosting per layer cake and he needs to make 3 layer cakes so that's 1 * 3 = 3 cans of frosting. There are 6 dozen cupcakes,12 single cakes and 18 pans of brownies for a total of 6 + 12 + 18 = 36 orders. Each of the 36 orders needs 1 / 2 can of frosting so they need 36 * .5 = 18 cans of frosting. He needs 3 cans of frosting for the layer cakes and 18 cans for the remaining items for a total of 3 + 18 = 21 cans of frosting. The answer is 21.