Brain Teasers
Growing Soccer League
Participation in the local soccer league is 10 percent greater than it was last year. The number of boys increased by 5 percent, and the number of girls increased by 20 percent. What fraction of the soccer league is now girls?
Answer
4/11.If b and g are the current number of boys and girls, respectively, we have:
(b/1.05) + (g/1.20) = [(b+g)/1.10]
or
(b/g)*(1/1.05 - 1/1.10) = (1/1.10) - (1/1.20)
Then
b/g = 7/4
so that
(b+g)/g = 11/4
and
g/(b+g) = 4/11
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