SOLUTION: There are 385 surfers in Surf City. Two thirds of the boys are surfers and one-twelfth of the girls are surfers. If there are two girls for every boy, then how many boys and how ma

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: There are 385 surfers in Surf City. Two thirds of the boys are surfers and one-twelfth of the girls are surfers. If there are two girls for every boy, then how many boys and how ma      Log On


   

Question 217128: There are 385 surfers in Surf City. Two thirds of the boys are surfers and one-twelfth of the girls are surfers. If there are two girls for every boy, then how many boys and how many girls are there in Surf City?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let b= # boys,,,,G= # girls
.
2b=g,,,,,,,or b = g/2
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(2/3)b + (1/12)g =385
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(2/3) (g/2) + (1/12) g = 385
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(1/3)g +(1/12)g =385
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(4/12)g +(1/12)g = 385
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(5/12)g=385
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g=924,,,,,,,,b=g/2=462
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check
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(2/3)(462) +(1/12)(924) = 385
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308 + 77 = 385,,,,,ok
.