document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193224>Question 1193224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "There were 150 people. The boys,girls and adults were in the ratio of 5 to 8 to 2 respectively. When some girls left the new ratio became 10 to 9 to 4 respectively. How many girls left the marathon.\r<BR>\n" );
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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 #825226 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i get the following:\r<BR>\n" );
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document.write( "the ratio boys to girls to adults is equal to 5 to 8 to 2.<BR>\n" );
document.write( "the total of this set is 15.<BR>\n" );
document.write( "there is a total of 150 people.<BR>\n" );
document.write( "the number of sets of 15 is therefore equal to 150/15 = 10.<BR>\n" );
document.write( "from this, you get the number of boys is 50 and the number of girls is 80 and the number of adults is 10.\r<BR>\n" );
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document.write( "you get 50 boys plus 80 girls plus 20 adults = a total of 150.\r<BR>\n" );
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document.write( "you remove x number of girls from the group.\r<BR>\n" );
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document.write( "the ratio of boys to girls to adults becomes 10 to 9 to 4.\r<BR>\n" );
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document.write( "let x = the number of girls that were removed.\r<BR>\n" );
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document.write( "you get:<BR>\n" );
document.write( "50 / (80 - x) = 10 / 9<BR>\n" );
document.write( "cross multiply to get:<BR>\n" );
document.write( "450 = 800 - 10x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = (800 - 450) / 10 = 35\r<BR>\n" );
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document.write( "you also get:<BR>\n" );
document.write( "(80 - x) / 20 = 9 / 4<BR>\n" );
document.write( "cross multiply to get:<BR>\n" );
document.write( "320 - 4x = 180<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = (320 - 180) / 4 = 35\r<BR>\n" );
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document.write( "looks like 35 girls were removed.\r<BR>\n" );
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document.write( "you started with 50 boys and 80 girls and 20 adults.<BR>\n" );
document.write( "you ended up with 50 boys and 45 girls and 20 adults.\r<BR>\n" );
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document.write( "starting ratio of boys to girls was 50/80 = 5/8.<BR>\n" );
document.write( "ending ratio of boys to girls was 50/45 = 10/9.\r<BR>\n" );
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document.write( "starting ratio of girls to adults was 80/20 = 8/2.<BR>\n" );
document.write( "ending ratio of girls to adults was 45/20 = 9/4.\r<BR>\n" );
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document.write( "starting ratio was 5/8/2.<BR>\n" );
document.write( "ending ratio was 10/9/4.\r<BR>\n" );
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document.write( "solution is 35 girls left the marathon.<BR>\n" );
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