document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230815>Question 230815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170969 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=170969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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<BR>\n" );
document.write( " six boys; this makes the class roster 75% boys.<BR>\n" );
document.write( " Find the number of boys and girls in the class on the first day of school.<BR>\n" );
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document.write( "Let x = the multiplier<BR>\n" );
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document.write( "Use the ratio method<BR>\n" );
document.write( "Originally: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%286x%29 ALIGN=MIDDLE  ALT=\"%284x%29%2F%286x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the girl/boy ratio<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F%286x%2B6%29 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F%286x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2F75 ALIGN=MIDDLE  ALT=\"25%2F75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "same as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-6%29%2F%286x%2B6%29 ALIGN=MIDDLE  ALT=\"%284x-6%29%2F%286x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "3(4x-6) = 6x + 6<BR>\n" );
document.write( "12x - 18 = 6x + 6<BR>\n" );
document.write( "12x - 6x = 6 + 18<BR>\n" );
document.write( "6x = 24<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F6 ALIGN=MIDDLE  ALT=\"24%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 4 is the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4*4 = 16 girls on the 1st day of school<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4*6 = 24 boys<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check when 6 girls leave and 6 boys arrive<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816-6%29%2F%2824%2B6%29 ALIGN=MIDDLE  ALT=\"%2816-6%29%2F%2824%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F30 ALIGN=MIDDLE  ALT=\"10%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1/3 ratio girls to boys (75% boys)<BR>\n" );
document.write( " </SPAN>\n" );
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