document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201509>Question 1201509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There were twice as many boys as girls in a Swimming Club. After 40 boys and 15 girls left the club, the number of girls who remained was 3/5 of the number of boys who remained in the club. How many children were there in the club at first?    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835898 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red size=4>135</font>\r<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "x = number of girls initially<BR>\n" );
document.write( "2x = number of boys initially\r<BR>\n" );
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document.write( "40 boys leave<BR>\n" );
document.write( "2x becomes 2x-40\r<BR>\n" );
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document.write( "15 girls leave<BR>\n" );
document.write( "x becomes x-15\r<BR>\n" );
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document.write( "\"<font color=blue>number of girls who remained was 3/5 of the number of boys who remained in the club</font>\" tells us that<BR>\n" );
document.write( "x - 15 = (3/5)*(2x-40)<BR>\n" );
document.write( "5(x - 15) = 3(2x-40)<BR>\n" );
document.write( "5x - 75 = 6x-120<BR>\n" );
document.write( "5x-6x = -120+75<BR>\n" );
document.write( "-x = -45<BR>\n" );
document.write( "x = 45 girls initially<BR>\n" );
document.write( "which leads to<BR>\n" );
document.write( "2x = 2*45 = 90 boys initially\r<BR>\n" );
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document.write( "45+90 = <font color=red>135</font> is the final answer.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "90 boys at first<BR>\n" );
document.write( "40 boys leave<BR>\n" );
document.write( "90-40 = 50 boys left\r<BR>\n" );
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document.write( "45 girls at first<BR>\n" );
document.write( "15 girls leave<BR>\n" );
document.write( "45-15 = 30 girls left<BR>\n" );
document.write( "ratio of girls remaining to boys remaining is 30/50 = 3/5, which confirms the answer is correct.<BR>\n" );
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