SOLUTION: In a class of 100, 1/8 of the boys and 1/4 of the girls play piano, and 3 times as many girls as boys play piano. How many boys play piano?

Algebra.Com
Question 981639: In a class of 100, 1/8 of the boys and 1/4 of the girls play piano, and 3 times as many girls as boys play piano. How many boys play piano?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of girls in class
= numbr of boys in class
------------------
given:
(1)
-----------------------------------
Multiply both sides by
(1)
(1)
(1)
(1)
and


There are 40 boys in the class

5 boys play piano
------------------
check:
Three times as many girls play piano, so
girls play piano
This is 1/4 of the girls, so there are
girls in the class
OK

RELATED QUESTIONS

In a class, 1/8 of the boys and 1/4 of the girls play the piano, and 3 times as many... (answered by robertb)
500 students are in a small private school. 2/3 of the girls play soccer. 1/3 of the boys (answered by josmiceli)
A class of 30 music students includes 13 who play the piano, 16 who play the guitar, and (answered by Edwin McCravy)
A teacher has 7 boys and 11 girls in her class. In how many ways can she select 8 of the... (answered by stanbon)
A teacher has 18 boys and 11 girls in her class. In how many ways can she select 8 of the (answered by Timnewman)
There are 46 boys and girls that attend a play. There are 8 more girls than boys. Let X... (answered by dkppathak)
Of the 30 students in my class, 11 practice taekwondo, 11 play piano, and 20 take lessons (answered by ikleyn)
1. A baseball pitcher has only three pitches: a fast ball, a curve ball, and a knuckle... (answered by stanbon)
A teacher has 20 boys and 10 girls in her class. In how many way can she select 6 of the (answered by ikleyn)