SOLUTION: In a class, 1/8 of the boys and 1/4 of the girls play the piano, and 3 times as many girls as boys play the piano. If there are 100 boys and girls in the class, how many boys play

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: In a class, 1/8 of the boys and 1/4 of the girls play the piano, and 3 times as many girls as boys play the piano. If there are 100 boys and girls in the class, how many boys play      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 387458: In a class, 1/8 of the boys and 1/4 of the girls play the piano, and 3 times as many girls as boys play the piano. If there are 100 boys and girls in the class, how many boys play the piano?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
b+g =100,
b/8 = # boys playing the piano
g/4 = # girls playing the piano
g%2F4+=+3%28b%2F8%29, or g+=+3b%2F2. Then
b+%2B+3b%2F2+=+100, or 2.5b = 100, or b = 40, # boys in the class. Therefore
40/8 = 5 boys play the piano. (Also, 60/4 = 15 girls play the piano.)