document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802215>Question 802215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of boys and girls in a school is 3 : 2 . When 6 more girls join, this ratio becomes 6 : 5 . Then the number of boys in the school is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483811 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of boys and girls in a school is 3 : 2 .<BR>\n" );
document.write( " When 6 more girls join, this ratio becomes 6 : 5 .<BR>\n" );
document.write( " Then the number of boys in the school is<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3x = no. boys<BR>\n" );
document.write( "2x = no. of girls originally<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When 6 girls added:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%282x%2B6%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%282x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "5(3x) = 6(2x+6) <BR>\n" );
document.write( "15x = 12x + 36 <BR>\n" );
document.write( "15x - 12x = 36<BR>\n" );
document.write( "3x = 36<BR>\n" );
document.write( "x = 36/3<BR>\n" );
document.write( "x = 12 is the multiplier<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "3(12) = 36 boys<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "2(12) = 24 girls originally<BR>\n" );
document.write( "then 30 girls when six added<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F30 ALIGN=MIDDLE  ALT=\"36%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );