document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174486>Question 1174486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Albert would like to donate RM x to three relatives with nickname as P, Q and R. The ratio of<BR>\n" );
document.write( "money received by P, Q and R is 3 : 4 : 2.<BR>\n" );
document.write( "If Albert now has another new fund which is four times of RM x to be contributed among<BR>\n" );
document.write( "them. R receives triple amount she has from beginning, while the ratio of money received<BR>\n" );
document.write( "by P and Q is 4 : 5. Write the ratio of the money they have now among P, Q and R. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800047 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=800047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p to q to r = 3 to 4 to 2 when the total distributed is equal to x.\r<BR>\n" );
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document.write( "if x = 9, then:\r<BR>\n" );
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document.write( "p = 3<BR>\n" );
document.write( "q = 4<BR>\n" );
document.write( "r = 2\r<BR>\n" );
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document.write( "when x = 9, 4x = 36 and r is tripled to equal 6.\r<BR>\n" );
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document.write( "the ratio of r to the total is 6/36 = 1/6 * the total.\r<BR>\n" );
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document.write( "this means that p + q = 5/6 * the total.\r<BR>\n" );
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document.write( "since p / q = 4 / 5, then solve for p to get p = 4/5 * q\r<BR>\n" );
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document.write( "since p + q = 5/6 * the total, replace p with 4/5 * q to get:\r<BR>\n" );
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document.write( "4/5 * q + q = 5/6 * the total.\r<BR>\n" );
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document.write( "combine like terms to get 9/5 * q = 5/6 * the total.\r<BR>\n" );
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document.write( "solve for q to get q = 5/9 * 5/6 * the total = 20/54 * the total.\r<BR>\n" );
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document.write( "since p/q = 4/5, solve for q to get q = 5/4 * p\r<BR>\n" );
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document.write( "since p + q = 5/6 * the total, replace q with 5/4 * p to get:\r<BR>\n" );
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document.write( "p + 5/4 * p = 5/6 * the total.\r<BR>\n" );
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document.write( "combine like terms to get 9/4 * p = 5/6 * the total.\r<BR>\n" );
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document.write( "solve for p to get p = 4/9 * 5/6 * the total = 20/54 * the total.\r<BR>\n" );
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document.write( "r = 1/6 * the total * 9/9 = 9/54 * the total.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "p = 20/54 * the total<BR>\n" );
document.write( "q = 25/54 * the total<BR>\n" );
document.write( "r = 9/54 * the total\r<BR>\n" );
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document.write( "the ratio of p to q to r becomes 20 to 25 to 9.\r<BR>\n" );
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document.write( "to test if this is correct, do the following:\r<BR>\n" );
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document.write( "let x = 27<BR>\n" );
document.write( "p = 3/9 * 27 = 9<BR>\n" );
document.write( "q = 4/9 * 27 = 12<BR>\n" );
document.write( "r = 2/9 * 27 = 6\r<BR>\n" );
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document.write( "then 4x = 4 * 27 = 108<BR>\n" );
document.write( "p = 20/54 * 108 = 40<BR>\n" );
document.write( "q = 25/54 * 108 = 50<BR>\n" );
document.write( "r = 9/54 * 108 = 18\r<BR>\n" );
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document.write( "r is equal to 6 when x = 27<BR>\n" );
document.write( "r is equal to 18 when 4x = 108\r<BR>\n" );
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document.write( "when the total is 108, r becomes 3 times what it was when the total was 27.<BR>\n" );
document.write( "this can also be shown as:<BR>\n" );
document.write( "when the total is 4x, r becomes 3 times what it was when the total was x.\r<BR>\n" );
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document.write( "i'll go with:\r<BR>\n" );
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document.write( "if the total is x, then the ratio of p to q to r is 3 to 4 to 2.<BR>\n" );
document.write( "if the total is 4x, then the ratio of p to q to r is 20 to 25 to 9\r<BR>\n" );
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document.write( "it's a little messy, but i think it's right.\r<BR>\n" );
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document.write( "let me know if this is the answer they are looking for.\r<BR>\n" );
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document.write( "theo </SPAN>\n" );
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