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Mathematics > Standard Multiple Choice

At Central High School, the math club has members and the chess club has members. If a total of students belong to only one of the two clubs, how many students belong to both clubs?

# You got it!

### Explanation

Let stand for the number of students who belong to both clubs. The members of the math club can be broken down into two groups: those who are in both clubs (there are students in this category) and those who are in the math club only (there are students in this category).

The members of the chess club can also be broken down into two groups: students who are in both clubs and students who are in the chess club only.

Since a total of students belong to only one of the two clubs, you know that . Solving this equation gives , so students belong to both clubs.