document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983474>Question 983474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "there were 1518 boys and girls in a hall.when 2/3 of the boys and 1/5 of the girls left there were<BR>\n" );
document.write( "twice as many girls as boys remaining. \r<BR>\n" );
document.write( "\n" );
document.write( "How many girls were there at the beginning<BR>\n" );
document.write( "how many boys were there at the beginning\r<BR>\n" );
document.write( "\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604300 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=604300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let g = original no. of girls<BR>\n" );
document.write( "let b = original no. of boys<BR>\n" );
document.write( ":<BR>\n" );
document.write( "there were 1518 boys and girls in a hall.<BR>\n" );
document.write( "g + b = 1518<BR>\n" );
document.write( "when 2/3 of the boys and 1/5 of the girls left there were twice as many girls as boys remaining.<BR>\n" );
document.write( "That means that 4/5 of the girls and 1/3 of the boys remained, so we can say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >g = 2(<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;\" >b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >b<BR>\n" );
document.write( "multiply by 15 to get rid of the denominators<BR>\n" );
document.write( "3(4g) = 5(2b)<BR>\n" );
document.write( "12g = 10b<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "6g = 5b<BR>\n" );
document.write( "b = <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;\" >g<BR>\n" );
document.write( "b = 1.2 g<BR>\n" );
document.write( "in the 1st equation replace b with 1.2g<BR>\n" );
document.write( "g + 1.2g = 1518<BR>\n" );
document.write( "2.2g = 1518<BR>\n" );
document.write( "g = 1518/2.2<BR>\n" );
document.write( "g = 690 girls originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "1518 - 690 = 828 boys originally<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this, by finding the remaining girls and boys<BR>\n" );
document.write( "1/3 * 828 = 276 boys remain<BR>\n" );
document.write( "4/5 * 690 = 552 girls<BR>\n" );
document.write( "2 * 276 = 552 twice as many girls as boys<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );