# Math

In a senior secondary school,80 students play football or hockey.The number that play football is 5 more than twice the number that play hockey.If 15 students play both games and every student in the school plays at least one game,find (i)the number of students that play football (ii)the number of students that play football but not hockey (iii)the number of students that play hockey but not football.

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1. f = only football , h = only hockey

f + h = 80 - 15 = 65

f + 15 = 2(h + 15) + 5 ... f + 15 = 2 h + 35 ... f = 2 h + 20

solve the system for f and h

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