Q: Mrs. Thomson received an incentive worth $240. She spent 1/3 of the money on food and 1/5 of it on clothes. Then, she put in her savings account 3/4 of the remaining money. How much money did Mrs. Thomson save?
A: Mrs. Thomson spent $240 x 1 / 3 = $80 on food. She spent $240 x 1 / 5 = $48 on clothes. So she spent a total of $80 + $48 = $128 on food and clothes. Hence, she had $240 - $128 = $112 left after buying food and clothes. Then, Mrs. Thomson saved $112 x 3 / 4 = $84. The answer is 84.
Question: Stuart is going on a cross-country trip and wants to find the fastest route. On one route the total distance is 1500 miles and the average speed is 75 MPH. On the second trip, the total distance is 750 but the average speed is 25 MPH. How long does his trip take if he goes on the fastest route?
Answer: The first route will take 20 hours because 1,500 / 75 = 20. The second route will take 30 hours because 750 / 25 = 30. The fastest route takes 20 hours because 20 < 30. The answer is 20.
[Question]Stan makes a playlist for the next time he goes running. He has 10 3-minute songs and 15 2-minute songs on his playlist. His entire run takes 100 minutes. If Stan wants a playlist to cover his entire run, how many more minutes of songs will he need in his playlist?
[Answer]His playlist currently has a playtime of 10 songs * 3 minutes = 30 minutes from 3 - minute songs. It also has a playtime of 15 songs * 2 minutes = 30 minutes from 2 - minute songs. So far, his playlist lasts for 30 + 30 = 60 minutes. He therefore still needs 100 minutes for his run – 60 minutes current playtime = 40 minutes. The answer is 40.
Q: Kyle can lift 60 more pounds this year, which is 3 times as much as he could lift last year. How many pounds can Kyle lift in all?
A: Since Kyle can lift 60 more pounds and that is 3 times what he could do before, that means that last year Kyle could lift 60 pounds / 3 = 20 pounds. Kyle can now lift 60 pounds + 20 pounds he could lift last year = 80 pounds. The answer is 80.
Question: On their way driving to Los Angeles, Benjamin and James see lots of billboard ads. Curious, Benjamin starts to count how many they see. In the first hour once he starts counting he counts 17 billboards. In the second hour once he starts counting he sees 20 billboards. In the third hour he sees 23 billboards. James asks Benjamin the average number of billboards they've seen per hour. What should Benjamin tell him?
Answer: Benjamin counts 17 + 20 + 23 = 60 billboards total on the way to Los Angeles. Benjamin saw those billboards over 3 hours, so the average number of billboards per hour they saw 60 / 3 = 20 billboards per hour. The answer is 20.
Q: There are 64 seventh graders at a middle school. This is 32% of the students at the school. The sixth graders comprise 38% of the students. How many sixth graders attend middle school?
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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Let X be the number of students in the middle school. There are X * 32% = 64 seventh graders. So there are X = 64 / 0.32 = 200 students at the school. And there are 200 * 38% = 76 sixth graders. The answer is 76.