document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890584>Question 890584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a school, 1200 of the students are boys. If 50% of the boys and 40% of the girls have paid their school fees, find the number of girls, given that 46% of the population has paid their school fees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539099 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let b represent the number of boys.<BR>\n" );
document.write( "let g represent the nmber of girls.\r<BR>\n" );
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document.write( ".5b + .4g = .46(b+g)\r<BR>\n" );
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document.write( "that's the equation you need to start with.\r<BR>\n" );
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document.write( "now you know that b = 1200, so replace b with 1200 to get:\r<BR>\n" );
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document.write( ".5(1200) + .4g = .46(1200+g)\r<BR>\n" );
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document.write( "simplify this to get 600 + .4g = 552 + .46g\r<BR>\n" );
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document.write( "subtract .4g from both sides of this equation and subtract 552 from both sides of this equation to get:\r<BR>\n" );
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document.write( "48 = .06g\r<BR>\n" );
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document.write( "solve for g to get:\r<BR>\n" );
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document.write( "g = 800\r<BR>\n" );
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document.write( "b + g now becomes 1200 + 800 = 2000<BR>\n" );
document.write( ".5b + .4g becomes 600 + 320 = 920<BR>\n" );
document.write( "920 / 2000 = .46\r<BR>\n" );
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document.write( "looks like we're good.\r<BR>\n" );
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document.write( "the answer to the question is that there are 800 girls in the school.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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