SOLUTION: A small private school has 500 students. Two thirds of the soccer players are girls. One third of the boys play soccer. One hundred of the girls do not play soccer. How many boys

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Question 89939: A small private school has 500 students. Two thirds of the soccer players are girls. One third of the boys play soccer. One hundred of the girls do not play soccer. How many boys are in this school?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let b equal number of boys, so number of girls is 500-b

1/3 of the boys play soccer and twice as many girls as boys play soccer ... 100 of the girls do not play soccer

so 500-b-100 girls play soccer and this number is twice a large as the 1/3 of the boys that play

500-b-100=2(b/3) ... 400=5b/3 ... 1200=5b ... 240=b