document.write( "Question 1140590: 80% of the people at a concert were adults. 75% of the children at a concert were boys. There were 36 more boys than girls.\r
\n" ); document.write( "\n" ); document.write( "a. How many boys were there at a concert?
\n" ); document.write( "b. Some boys left halfway through the concert after which 10% of the remaining people at the concert were boys. How many boys left the concert halfway?
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Algebra.Com's Answer #761181 by josmiceli(19441)\"\" \"About 
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Let \"+x+\" = total number at the concert
\n" ); document.write( "\"+.2%2A.75x+=+.15x+\" is the number of boys
\n" ); document.write( "\"+.2%2A.25x+=+.05x+\" is the number of girls
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+.15x+=+.05x+%2B+36+\"
\n" ); document.write( "\"+.1x+=+36+\"
\n" ); document.write( "\"+x+=+360+\"
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\n" ); document.write( "(a)
\n" ); document.write( "\"+.15%2A360+=+54+\" is the number of boys at concert
\n" ); document.write( "(b)
\n" ); document.write( "Let \"+n+\" = number of boys who left concert
\n" ); document.write( "\"+.1%2A%28+x+-+n+%29+=+54+-+n+\"
\n" ); document.write( "\"+.1%2A%28+360+-+n+%29+=+54+-+n+\"
\n" ); document.write( "\"+36+-+.1n+=+54+-+n+\"
\n" ); document.write( "\"+.9n+=+54+-+36+\"
\n" ); document.write( "\"+.9n+=+18+\"
\n" ); document.write( "\"+n+=+20+\"
\n" ); document.write( "20 boys left the concert
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\n" ); document.write( "check:
\n" ); document.write( "\"+360+-+20+=+340+\" people remain after 20 boys left
\n" ); document.write( "\"+.1%2A340+=+34+\" boys remain after 20 boys left
\n" ); document.write( "\"+34+%2B+20+=+54+\" is number of boys starting out
\n" ); document.write( "OK\r
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