SAT Math Multiple Choice Practice Question 18: Answer and Explanation

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Question: 18

18. In a class of 100 students, 65 take Spanish, 32 take art, and 14 take both Spanish and art. How many students do not take either Spanish or art?

A. 3
B. 11
C. 17
D. 18
E. 35

Correct Answer: C


C. You can solve this problem using simple arithmetic. If you add up the 65 Spanish students and the 32 art students, you get a total of 97 students. However, you counted the 14 students who take both subjects twice, so you need to subtract 14, giving you 83 students in either Spanish or art. (This method always works to find the total number of things in two groups combined: Add up the number in each group, and then subtract the overlap.) If 83 students are in Spanish and/or art, you're left with 100 - 83 = 17 who don't take either subject.

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