SAT Math Multiple Choice Practice Question 363: Answer and Explanation

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Question: 363

11. In a 9th-grade class, 12 students play soccer, 7 students play tennis, and 9 students play lacrosse. If 4 students play exactly two of the three sports and all other students play only one, how many students are in the class?

A. 28
B. 24
C. 20
D. 18
E. 16

Correct Answer: B


B A Venn diagram can help you with this problem: Imagine that the 4 students who play two sports play soccer and tennis. (It doesn't matter which specific pair of sports they play.) This means that students play just soccer, students play just tennis, and 9 students play just lacrosse. This shows that there is a total of students.

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