SAT Math Multiple Choice Question 195: Answer and Explanation

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Question: 195

15. At Santa Monica High School, the ratio of juniors to seniors is 4 to 3, the ratio of seniors to sophomores is 5 to 4, and the ratio of freshmen to sophomores is 7 to 6. What is the ratio of freshmen to seniors?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D

Explanation:

D A good approach to this question would be to plug in some numbers. Start with the number of juniors and plug in a number that is easy to deal with, such as 200. Then you can set up a proportion using the ratio given in the question stem: . Cross-multiply and solve for x to determine that the number of seniors would be 150. Next, use the relationship . Using 150 for seniors, you get . Cross-multiply and solve for x to determine that the number of sophomores would be 120. Next, use the relationship . Using 120 for sophomores, you get . Cross-multiply and solve for x to determine that the number of freshmen would be 140. The ratio of freshmen to seniors, therefore, would be , which is (D).

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