Problem:
At Annville Junior High School, of the students in the Math Club are in the Science Club, and of the students in the Science Club are in the Math Club. There are students in the Science Club. How many students are in the Math Club?
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Solution:
Since of the Science Club members are also in the Math Club, there are students common to both clubs. Because of the students in the Math Club are also in the Science Club, there are students in the Math Club.
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The problems on this page are the property of the MAA's American Mathematics Competitions