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MathNet 2009-part-04 — 175 problems (EN–VI) Question 49

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 49

A certain high school offers its students the choice of two sports: football and basketball. One fifth of the footballers also plays basketball and one seventh of the basketball players plays football. There are 110 students who practice exactly one of the sports. How many of them practice both?