SAT Math Multiple Choice Question 180: Answer and Explanation

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Question: 180

15. Of the 784 juniors and seniors at Abingdon High School, 319 are currently enrolled in one or more Advanced Placement (AP) courses. Of these AP students, 75 are enrolled in AP Biology, 58 are enrolled in AP U.S. History, and 22 are enrolled in both AP Biology and AP U.S. History. Approximately what percent of the juniors and seniors at Abingdon High School are enrolled in AP courses other than Biology and U.S. History?

  • A. 17%
  • B. 27%
  • C. 37%
  • D. 47%

Correct Answer: B

Explanation:

B First, let's figure out how many students are enrolled in AP courses other than Biology and U.S. History. We know that 319 students are enrolled in at least one AP course, and of those, 75 + 58 = 133 are enrolled in Biology and U.S. History. However, since 22 students are enrolled in both of those courses, we need to subtract 22 from 133 (so as not to double-count the students taking both courses). That leaves us with 133 - 22 = 111 total students who are taking AP Biology and AP U.S. History. Of the 319 students taking AP courses, that means there are 319 - 111 = 208 students taking AP courses other than Biology and U.S. History. We know that there are 784 juniors and seniors total, so = 0.265, or approximately 27% of all juniors and seniors, which is (B).

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