Basketball or Football

Difficulty: Medium · Topics: Discrete Mathematics, Sets, Word Problems

In a community that plays basketball, football and athletics, everyone who plays basketball or football also does athletics.

The number of people who play basketball but not football is equal to the number of people who play both basketball and football, and that number is 6.

The number of people who do athletics but do not play football is equal to the number of people who do athletics but do not play basketball, and that number is 10.

How many people play basketball or football?