document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30524>Question 30524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think I know the answer but can't get the formula right. HELP!!!<BR>\n" );
document.write( "From a group of boys and girls, fifteen girls leave.  Twice as many boys as girls are left.  Then forty-five boys leave.  Five times as many girls as boys remain.  How many boys and girls were in the initial group? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17146 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b= initial number of boys<BR>\n" );
document.write( "g = initial number of girls<BR>\n" );
document.write( "when 15 girls leave, there are twice as many boys as girls<BR>\n" );
document.write( "b = 2(g-15)<BR>\n" );
document.write( "45 boys leave, 5 times as many girls remain<BR>\n" );
document.write( "5(b-45) = g - 15<BR>\n" );
document.write( "5b -225 = g - 15<BR>\n" );
document.write( "from above <BR>\n" );
document.write( "b/2 = g - 15<BR>\n" );
document.write( "substitute<BR>\n" );
document.write( "5b - 225 = b/2<BR>\n" );
document.write( "10b -450 = b<BR>\n" );
document.write( "9b = 450<BR>\n" );
document.write( "b = 50<BR>\n" );
document.write( "50/2 = g - 15<BR>\n" );
document.write( "g = 25 + 15<BR>\n" );
document.write( "g = 40<BR>\n" );
document.write( "check<BR>\n" );
document.write( "initially<BR>\n" );
document.write( "b = 50<BR>\n" );
document.write( "g = 40<BR>\n" );
document.write( "15 girls leave<BR>\n" );
document.write( "b = 50<BR>\n" );
document.write( "g = 25<BR>\n" );
document.write( "there are twice as many boys as girls<BR>\n" );
document.write( "45 boys leave<BR>\n" );
document.write( "b = 5<BR>\n" );
document.write( "g = 25<BR>\n" );
document.write( "five times as many girls remain<BR>\n" );
document.write( "checks OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );