document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189485>Question 189485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide Rs 12,540 in A B and C so that A may receive 3/7 of B and C, and B receive 2/9 of A and C. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142164 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=142164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Divide Rs 12,540 in A B and C so that A may receive 3/7 of B and C, and B receive 2/9 of A and C.<BR>\n" );
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document.write( "Write an equation for each and arrange in a standard integer form<BR>\n" );
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document.write( "\"12,540 in A B and C\"<BR>\n" );
document.write( "a + b + c = 12540<BR>\n" );
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document.write( "\"that A may receive 3/7 of B and C,\"<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(b + c)<BR>\n" );
document.write( "multiply both sides by 7<BR>\n" );
document.write( "7a = 3(b + c)<BR>\n" );
document.write( "7a = 3b + 3c<BR>\n" );
document.write( "7a - 3b - 3c = 0<BR>\n" );
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document.write( "\" and B receive 2/9 of A and C.\"<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9 ALIGN=MIDDLE  ALT=\"2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >(a + c)<BR>\n" );
document.write( "multiply both sides by 9<BR>\n" );
document.write( "9b = 2(a + c)<BR>\n" );
document.write( "9b = 2a + 2c<BR>\n" );
document.write( "-2a + 9b - 2c = 0<BR>\n" );
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document.write( "Multiply the 1st equation by 2 and add to the above equation<BR>\n" );
document.write( "-2a + 9b - 2c = 0<BR>\n" );
document.write( "2a + 2b + 2c = 25080<BR>\n" );
document.write( "------------------------adding eliminates a & c, find b<BR>\n" );
document.write( "11b = 25080<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25080%2F11 ALIGN=MIDDLE  ALT=\"25080%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 2280<BR>\n" );
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document.write( "Multiply the 1st equation by 3 and add to the 2nd equation:<BR>\n" );
document.write( "3a + 3b + 3c = 37620<BR>\n" );
document.write( "7a - 3b - 3c = 0<BR>\n" );
document.write( "--------------------addition eliminates b & c, find a<BR>\n" );
document.write( "10a = 37620<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37620%2F10 ALIGN=MIDDLE  ALT=\"37620%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 3762<BR>\n" );
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document.write( "Find c:<BR>\n" );
document.write( "3762 + 2280 + c = 12540<BR>\n" );
document.write( "c = 12540 - 6042<BR>\n" );
document.write( "c = 6498<BR>\n" );
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document.write( "Check solution using a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(b + c)<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(2280 + 6498)<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >(8778)<BR>\n" );
document.write( "a = 3762 as we got above<BR>\n" );
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document.write( "You can check the solutions in the other equations </SPAN>\n" );
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