document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169167>Question 1169167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Three business partners A, B and C share the 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( "1.1 A's share:B's share:C's share<BR>\n" );
document.write( "1.2 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 #793799 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=793799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "you are given:\r<BR>\n" );
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document.write( "a represents a's share of the profits<BR>\n" );
document.write( "b represents b's share of the profits.<BR>\n" );
document.write( "c represents c's share of the profits.\r<BR>\n" );
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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 to get a = 6/5 * b\r<BR>\n" );
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document.write( "from b/c = 3/4, solve for c to get c = 4/3 * b\r<BR>\n" );
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document.write( "you know that a + b + c = p, where p represents total profit.\r<BR>\n" );
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document.write( "replace a and c with their equivalent values in b to get:<BR>\n" );
document.write( "6/5 * b + b + 4/3 * b = p<BR>\n" );
document.write( "multiply both sides of this equation 15 to get:<BR>\n" );
document.write( "18 * b + 15 * b + 20 * b = 15 * p<BR>\n" );
document.write( "add them up to get:<BR>\n" );
document.write( "53 * b = 15 * p<BR>\n" );
document.write( "divide both sides of this equation by 15 to get:<BR>\n" );
document.write( "b = 15/53 * p\r<BR>\n" );
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document.write( "since a = 6/5 * b, then:<BR>\n" );
document.write( "a = 6/5 * 15/53 * p<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "a = 18/53 * p\r<BR>\n" );
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document.write( "since c = 4/3 * b, then:<BR>\n" );
document.write( "c = 4/3 * 15/53 * p<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "c = 20/53 * p\r<BR>\n" );
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document.write( "add them up to get:\r<BR>\n" );
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document.write( "p = a + b + c = 18/53 * p + 15/53 * p + 20/53 * p\r<BR>\n" );
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document.write( "your answers for part 1.1 are:\r<BR>\n" );
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document.write( "a's share is equal to 18/53 * total profit.<BR>\n" );
document.write( "b's share is equal to 15/53 * total profit.<BR>\n" );
document.write( "c's share is equal to 20/53 * total profit.\r<BR>\n" );
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document.write( "if a gets 5000 less than c, you get:<BR>\n" );
document.write( "a = c - 5000<BR>\n" );
document.write( "since a = 18/53 * p and c = 20/53 * p, then you get:<BR>\n" );
document.write( "18/53 * p = 20/53 * p - 5000<BR>\n" );
document.write( "subtract 18/53 * p from both sides of this equation and add 5000 to both sides of this equation to get:<BR>\n" );
document.write( "5000 = 2/53 * p<BR>\n" );
document.write( "solve for p to get:<BR>\n" );
document.write( "p = 5000 * 53/2 = 132500\r<BR>\n" );
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document.write( "a's share is 18/53 * 132500 = 45000<BR>\n" );
document.write( "b's share is 15/53 * 132500 = 37500<BR>\n" );
document.write( "c's share is 20/53 * 132500 = 50000\r<BR>\n" );
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document.write( "ratio of a's share to b's share is 45000/37500 = 6/5<BR>\n" );
document.write( "ratio of b's share to c's share is 37500 / 50000 = 3/4\r<BR>\n" );
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document.write( "requirements of the problem are satisfied.<BR>\n" );
document.write( "solution looks good.\r<BR>\n" );
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document.write( "solution is:\r<BR>\n" );
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document.write( "a's share is 18/53 * 132500 = 45000<BR>\n" );
document.write( "b's share is 15/53 * 132500 = 37500<BR>\n" );
document.write( "c's share is 20/53 * 132500 = 50000<BR>\n" );
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