document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187830>Question 1187830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> N7000 was shared by four people in ratio x:2:1:3. If the least was N702, what is x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818859 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=818859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i get x = 3.971509972<BR>\n" );
document.write( "as a fraction, that is equal to 1394/351.702<BR>\n" );
document.write( "the ratio is therefore 1394/351:2:1:3<BR>\n" );
document.write( "let k be the common factor.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "1394/351*k + 2k + k + 3k = 7000<BR>\n" );
document.write( "multiply both sides of this by 351 to get<BR>\n" );
document.write( "1394k + 702k + 351k + 1053k = 2457000<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "3500k = 2457000<BR>\n" );
document.write( "solve for k to get:<BR>\n" );
document.write( "k = 702<BR>\n" );
document.write( "your ratio is therefore:<BR>\n" );
document.write( "1394/351:2:1:3<BR>\n" );
document.write( "x is therefore equal to 1394/351.<BR>\n" );
document.write( "it's not an integer, but it is the right value for x.<BR>\n" );
document.write( "multiply all of the factors by 351 to get:<BR>\n" );
document.write( "1394:702:351:1053.<BR>\n" );
document.write( "the common factor will now be (1394 + 702 + 351 + 1053) * k = 7000<BR>\n" );
document.write( "solve for k to get:<BR>\n" );
document.write( "k = 2\r<BR>\n" );
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document.write( "when x is an integer, the ratio becomes:<BR>\n" );
document.write( "1394:702:351:1053 with k = 2.<BR>\n" );
document.write( "k is the common factor.\r<BR>\n" );
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document.write( "your solution should be:\r<BR>\n" );
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document.write( "either x = 1394/351 when the ratio is 1394/351:2:1:3 and the common factor = k is 702, or x = 1394 when the ratio is 1394:702:351:1053 and the common factor = k is 2.\r<BR>\n" );
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document.write( "either ratio is good, depending on whether you want the ratio to be in whole number or you can allow fractions.\r<BR>\n" );
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document.write( "this is the best i can do with this.\r<BR>\n" );
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document.write( "let me know if you have any questions.\r<BR>\n" );
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document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );