document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204074>Question 1204074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that A:B = 2:3, B:C=3:1, C:D=4:5, D:E = 2:1 and A+B+C+D+E = 18900. What is the value of E? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840088 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "D:E = 2:1<BR>\n" );
document.write( "D/E = 2/1<BR>\n" );
document.write( "D/E = 2<BR>\n" );
document.write( "D = 2E\r<BR>\n" );
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document.write( "C:D = 4:5<BR>\n" );
document.write( "C/D = 4/5<BR>\n" );
document.write( "5C = 4D  ...... cross multiply<BR>\n" );
document.write( "5C = 4(2E) .... plug in D = 2E<BR>\n" );
document.write( "5C = 8E<BR>\n" );
document.write( "C = 8E/5\r<BR>\n" );
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document.write( "B:C = 3:1<BR>\n" );
document.write( "B/C = 3/1<BR>\n" );
document.write( "B/C = 3<BR>\n" );
document.write( "B = 3C<BR>\n" );
document.write( "B = 3*(8E/5) ...... plug in C = 8E/5<BR>\n" );
document.write( "B = 24E/5\r<BR>\n" );
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document.write( "A:B = 2:3<BR>\n" );
document.write( "A/B = 2/3<BR>\n" );
document.write( "3A = 2B  ...... cross multiply<BR>\n" );
document.write( "A = (2/3)*B<BR>\n" );
document.write( "A = (2/3)*(24E/5) ...... plug in B = 24E/5<BR>\n" );
document.write( "A = 16E/5\r<BR>\n" );
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document.write( "Each block of steps shown above has us isolate variables A, B, C, and D such that E is the only variable on the right hand side.<BR>\n" );
document.write( "A = 16E/5<BR>\n" );
document.write( "B = 24E/5<BR>\n" );
document.write( "C = 8E/5<BR>\n" );
document.write( "D = 2E\r<BR>\n" );
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document.write( "This will allow us to do substitutions in the next set of steps to let us solve for E.\r<BR>\n" );
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document.write( "A+B+C+D+E = 18900<BR>\n" );
document.write( "16E/5+24E/5+8E/5+2E+E = 18900<BR>\n" );
document.write( "5*(16E/5+24E/5+8E/5+2E+E) = 5*18900<BR>\n" );
document.write( "16E+24E+8E+10E+5E = 94500<BR>\n" );
document.write( "63E = 94500<BR>\n" );
document.write( "E = 94500/63<BR>\n" );
document.write( "<font color=red>E = 1500</font>\r<BR>\n" );
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document.write( "Use this to find the other variables<BR>\n" );
document.write( "A = 16E/5 = 16*1500/5 = 4800<BR>\n" );
document.write( "B = 24E/5 = 24*1500/5 = 7200<BR>\n" );
document.write( "C = 8E/5 = 8*1500/5 = 2400<BR>\n" );
document.write( "D = 2E = 2*1500 = 3000\r<BR>\n" );
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document.write( "To summarize<BR>\n" );
document.write( "A = 4800<BR>\n" );
document.write( "B = 7200<BR>\n" );
document.write( "C = 2400<BR>\n" );
document.write( "D = 3000<BR>\n" );
document.write( "<font color=red>E = 1500</font>\r<BR>\n" );
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document.write( "I'll let the student verify each of those values. <BR>\n" );
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