document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137385>Question 137385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I solve this :\r<BR>\n" );
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document.write( "On the first day of school, the percentage of boys in a particular class is 60%.  During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys.  Find the number of boys and girls in the class on the first day of school.  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #100538 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=100538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of boys and girls in the class on the first day of school\r<BR>\n" );
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document.write( "Then 0.6x=number of boys<BR>\n" );
document.write( "and 0.4x=number of girls<BR>\n" );
document.write( "After the shuffle, we have:<BR>\n" );
document.write( "Number of boys=0.6x+6<BR>\n" );
document.write( "Number of girls=0.4x-6\r<BR>\n" );
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document.write( "Now we are told that the following situations exist after the shuffle:<BR>\n" );
document.write( "0.75x=0.6x+6 (boys) subtract 0.6x from each side<BR>\n" );
document.write( "0.15x=6  divide both sides by0.15\r<BR>\n" );
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document.write( "x=40-----------------------number of boys and girls in the class on the first day of school\r<BR>\n" );
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document.write( "We can also arrive at the answer with the following equation (girls):\r<BR>\n" );
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document.write( "0.25x=0.4x-6  subtract 0.4x from each side<BR>\n" );
document.write( "-0.15x=-6 or<BR>\n" );
document.write( "x=40\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "first day of school:<BR>\n" );
document.write( "0.6*40=24 boys<BR>\n" );
document.write( "0.4*40=16 girls<BR>\n" );
document.write( "24+16=40<BR>\n" );
document.write( "40=40<BR>\n" );
document.write( "after the shuffle:\r<BR>\n" );
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document.write( "0.75(40)=24+6<BR>\n" );
document.write( "30=30<BR>\n" );
document.write( "0.25(40)=16-6<BR>\n" );
document.write( "10=10\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
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