# Basketball, Soccer, and Football

Pro Problems > Math > Algebra > Equations > Word Problems## Basketball, Soccer, and Football

A school has 100 students. 32 of those students play basketball, and 45 of them play soccer. 24 students play football. There are 21 students who don’t play any sport at all. The number of students who play both basketball and football (but not soccer) is twice the number of students who play all three, and three times the number of students who play both soccer and football (but not basketball). Eight students play both basketball and soccer, but not football. How many students play only soccer?

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