### 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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