document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #602614 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = number of girls in class
\n" ); document.write( "\"+100+-+x+\" = numbr of boys in class
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\n" ); document.write( "given:
\n" ); document.write( "(1) \"+%28+1%2F4+%29%2Ax+=+3%2A%28+1%2F8+%29%2A%28+100+-+x+%29+\"
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\n" ); document.write( "Multiply both sides by \"+8+\"
\n" ); document.write( "(1) \"+2x+=+3%2A%28+100+-+x+%29+\"
\n" ); document.write( "(1) \"+2x+=+300+-+3x+\"
\n" ); document.write( "(1) \"+5x+=+300+\"
\n" ); document.write( "(1) \"+x+=+60+\"
\n" ); document.write( "and
\n" ); document.write( "\"+100+-+x+=+100+-+60+\"
\n" ); document.write( "\"+100+-+x+=+40+\"
\n" ); document.write( "There are 40 boys in the class
\n" ); document.write( "\"+%28+1%2F8+%29%2A40+=+5+\"
\n" ); document.write( "5 boys play piano
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\n" ); document.write( "check:
\n" ); document.write( "Three times as many girls play piano, so
\n" ); document.write( "\"+3%2A5+=+15+\" girls play piano
\n" ); document.write( "This is 1/4 of the girls, so there are
\n" ); document.write( "\"+4%2A15+=+60+\" girls in the class
\n" ); document.write( "OK\r
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