SAT Math Multiple Choice Practice Question 187: Answer and Explanation

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Question: 187

11. Of 150 students in the 11th grade, 82 study Spanish, 75 study French, and 15 study both Spanish and French. How many students study neither language?

A. 7
B. 8
C. 9
D. 21
E. 23

Correct Answer: B

Explanation:

B. Set up a Venn diagram to solve this problem.

Now you can see that there must be 82 - 15 = 67 students who take only Spanish, and - 75 - 15 = 60 students who take only French. Now you can add up the students in each -section: 67 + 15 + 60 = 142 students studying Spanish, French, or both. Because there are 150 students in the 11th grade and you just determined that 142 of them are studying French and/or Spanish, that leaves 150 - 142 = 8 students who are not taking either class.

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