document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563503>Question 563503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two different schools (A and B) have the same number of pupils. The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5. Find the ratio of the boys in school A to the girls in school A. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365059 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=365059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two different schools (A and B) have the same number of pupils.<BR>\n" );
document.write( " The ratio of the boys in school A and the boys in school B is 2:1 and the ratio of the girls in school A and the girls in school B is 4:5.<BR>\n" );
document.write( " Find the ratio of the boys in school A to the girls in school A. <BR>\n" );
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document.write( "Let Ba = no. of boys in class A<BR>\n" );
document.write( "Let Bb = no. of boys in class B<BR>\n" );
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document.write( "Let Ga = no. of girls in class A<BR>\n" );
document.write( "Let Gb = no. of girls in class B<BR>\n" );
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document.write( "\"Two different schools (A and B) have the same number of pupils.\"<BR>\n" );
document.write( "Ba + Ga = Bb + Gb<BR>\n" );
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document.write( "\"The ratio of the boys in school A and the boys in school B is 2:1\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Ba%29%2F%28Bb%29 ALIGN=MIDDLE  ALT=\"%28Ba%29%2F%28Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F1 ALIGN=MIDDLE  ALT=\"2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "2Bb = Ba<BR>\n" );
document.write( "Bb = .5Ba<BR>\n" );
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document.write( "\"and the ratio of the girls in school A and the girls in school B is 4:5.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Ga%29%2F%28Gb%29 ALIGN=MIDDLE  ALT=\"%28Ga%29%2F%28Gb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <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;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "4Gb = 5Ga<BR>\n" );
document.write( "Gb = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F4 ALIGN=MIDDLE  ALT=\"5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >Ga<BR>\n" );
document.write( "Gb = 1.25Ga<BR>\n" );
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document.write( "We know that: Ba + Ga = Bb + Gb<BR>\n" );
document.write( "replace Bb with .5Ba and Gb with 1.25Ga<BR>\n" );
document.write( "Ba + Ga = .5Ba + 1.25Ga<BR>\n" );
document.write( "Ba - .5Ba = 1.25Ga - Ga<BR>\n" );
document.write( ".5Ba = .25Ga<BR>\n" );
document.write( "multiply by 4, get rid of the decimals<BR>\n" );
document.write( "2Ba = 1Ga<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ba%2FGa ALIGN=MIDDLE  ALT=\"Ba%2FGa\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " Find the ratio of the boys in school A to the girls in school A.<BR>\n" );
document.write( "1:2, Boys to girls in school A  </SPAN>\n" );
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