document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95505>Question 95505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> THREE-FOURTHS OF THE GYMNASTICS CLASS ARE GIRLS. AFTER TWELVE BOYS JOIN THE CLASS, THE NUMBER OF BOYS AND GIRLS ARE THE SAME. HOW MANY STUDENTS ARE IN THE CLASS NOW? HOW MANY STUDENTS ARE IN THE CLASS AFTER THE 12 BOYS JOIN? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69512 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=69512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=size of class before the 12 boys join\r<BR>\n" );
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document.write( "Then x+12 =size of class after the 12 boys join\r<BR>\n" );
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document.write( "Now we know that the total number of girls in the class before the 12 boys are added equals the total number of girls in the class after the 12 boys are added.  So, we have:\r<BR>\n" );
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document.write( "(3/4)x=1/2(x+12)  myltiply each term by 4<BR>\n" );
document.write( "3x=2(x+12) get rid of parens\r<BR>\n" );
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document.write( "3x=2x+24  subtract 2x from both sides<BR>\n" );
document.write( "3x-2x=2x-2x+24  collect like terms\r<BR>\n" );
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document.write( "x=24-------------------size of class before the 12 boys are added\r<BR>\n" );
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document.write( "x+12=24+12=36--------------------------size of class after the 12 boys are added\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "(3/4)*24=18\r<BR>\n" );
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document.write( "18=1/2 of 36\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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