document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171263>Question 1171263</A>: <I><SPAN STYLE=\"word-break: break-all;\"> three business partners A, B and C share their profits as follows:<BR>\n" );
document.write( "The ratio of A's share to B's share is 6:5 and the ratio of B's share to C's share is 3:4. Determine:<BR>\n" );
document.write( " a) A's share, B's share and C's share<BR>\n" );
document.write( " b) The total profit if A gets 5000 less than C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796192 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=796192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your given ratios are:<BR>\n" );
document.write( "A/B = 6/5<BR>\n" );
document.write( "B/C = 3/4\r<BR>\n" );
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document.write( "from A/B = 6/5, solve for A in terms of B to get A = 6B/5.<BR>\n" );
document.write( "from B/C = 3/4, solve for B in terms of C to get B = 3C/4.<BR>\n" );
document.write( "from A = 6B/5, solve for B in terms of A to get B = 5A/6.\r<BR>\n" );
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document.write( "from B = 3C/4, replace B with 5A/6 to get 5A/6 = 3C/4.<BR>\n" );
document.write( "multiply both sides of this equation by 6 to get 5A = 18C/4.<BR>\n" );
document.write( "divide both sides of this equation by 5 to get A = 18C/20.\r<BR>\n" );
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document.write( "from A = 18C/20, solve for C to get C = 20A/18.\r<BR>\n" );
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document.write( "you are given that A = C - 5000.<BR>\n" );
document.write( "since C = 20A/18, you get A = 20A/18 - 5000.<BR>\n" );
document.write( "multiply both sides of this equation by 18 to get 18A = 20A - 90000.<BR>\n" );
document.write( "subtract 18A from both sides of this equation and add 90000 to both sides of this equation to get 90000 = 20A - 18A.<BR>\n" );
document.write( "combine like terms to get 90000 = 2A.<BR>\n" );
document.write( "solve for A to get A = 90000/2 = 45000\r<BR>\n" );
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document.write( "since A = C - 5000, then C = A + 5000 = 45000 + 5000 = 50000.<BR>\n" );
document.write( "you have A = 45000 and C = 50000.<BR>\n" );
document.write( "since B = 3C/4, then B = 3*50000/4 = 37500.\r<BR>\n" );
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document.write( "you now have A = 45000 and B = 37500 and C = 50000.\r<BR>\n" );
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document.write( "total profit = A + B + C = 45000 + 37500 + 50000 = 132500, and:<BR>\n" );
document.write( "A's share is 45000.<BR>\n" );
document.write( "B's share if 37500.<BR>\n" );
document.write( "C's share is 50000.<BR>\n" );
document.write( "that's your solution.\r<BR>\n" );
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document.write( "you were given that A/B = 6/5.<BR>\n" );
document.write( "since A = 45000 and B = 37500, then A/B = 45000/37500 = 1.2 * 5/5 = 6/5.<BR>\n" );
document.write( "this confirms the ratio is correct with the calculated values of A and B.\r<BR>\n" );
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document.write( "you were given that B/C = 3/4.<BR>\n" );
document.write( "since B = 37500 and C = 50000, then B/C = 37500/50000 = .75 * 4/4 = 3/4. <BR>\n" );
document.write( "this confirms the ratio is correct with the calculated values of B and C.\r<BR>\n" );
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document.write( "you were given that A = C - 5000.<BR>\n" );
document.write( "since A = 45000 and C = 50000, then you get 45000 = 50000 - 5000 which becomes 45000 = 45000 which it true.<BR>\n" );
document.write( "this confirms that A = C - 5000 with the calculated values of A and C.\r<BR>\n" );
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document.write( "your solution is confirmed to be good.<BR>\n" );
document.write( "the solution is that total profit = 132500 with A = 45000, B = 37500, C = 50000.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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