document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=989156>Question 989156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when 6 new boys were admitted and 6 girls left from the class, the percentage of girls decreased from 68% to 56%. find the original number of boys and girls in the class </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #609594 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=609594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when 6 new boys were admitted and 6 girls left from the class, the percentage of girls decreased from 68% to 56%. find the original number of boys and girls in the class <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let g = original number of girls<BR>\n" );
document.write( "let b = original number of boys<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(g+b) = total in the class<BR>\n" );
document.write( ":<BR>\n" );
document.write( "First equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%2F%28g%2Bb%29 ALIGN=MIDDLE  ALT=\"g%2F%28g%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .68<BR>\n" );
document.write( "g = .68(g+b)<BR>\n" );
document.write( "g = .68g + .68b<BR>\n" );
document.write( "g - .68g = .68b<BR>\n" );
document.write( ".32g = .68b<BR>\n" );
document.write( "g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.68b%29%2F.32 ALIGN=MIDDLE  ALT=\"%28.68b%29%2F.32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "g = 2.125b<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Second equation<BR>\n" );
document.write( "Adding 6 boys and subtracting 6 girls, class total is the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-6%29%2F%28g%2Bb%29 ALIGN=MIDDLE  ALT=\"%28g-6%29%2F%28g%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .56<BR>\n" );
document.write( "g - 6 = .56(g+b)<BR>\n" );
document.write( "g - 6 = .56g + .56b<BR>\n" );
document.write( "g - .56g = .56b + 6<BR>\n" );
document.write( ".44g = .56b + 6<BR>\n" );
document.write( "Replace g with 2.125b<BR>\n" );
document.write( ".44(2.125b) = .56b + 6<BR>\n" );
document.write( ".935b - .56b = 6<BR>\n" );
document.write( ".375b = 6<BR>\n" );
document.write( "b = 6/.375<BR>\n" );
document.write( "b = 16 boys originally<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the girls<BR>\n" );
document.write( "g = 2.125(16)<BR>\n" );
document.write( "g = 34 girls originally<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "See if this checks out, total is 16 + 34 = 50<BR>\n" );
document.write( "34/50 = .68<BR>\n" );
document.write( "and 6 less girls<BR>\n" );
document.write( "28/50 = .56<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );