document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023494>Question 1023494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two business partners, Ellen and Bob, invested money in their business at a a ratio of 8 to 9. Bob invested the greater amount. The total amount invested was $510. How much did each partner invest?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638994 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=638994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> e = amount invested by ellen.<BR>\n" );
document.write( "b= amount invested by bob.\r<BR>\n" );
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document.write( "ratio invested at a rate of 8 to 9, where bob invested the larger amount.\r<BR>\n" );
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document.write( "ratio is:\r<BR>\n" );
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document.write( "e/b = 8/9\r<BR>\n" );
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document.write( "total amount invested is 510.\r<BR>\n" );
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document.write( "this means that e + b = 510.\r<BR>\n" );
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document.write( "from e/b = 8/9, solve for e to get e = 8b/9\r<BR>\n" );
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document.write( "raplace e with 8b/9 in the equation of e + b = 510 to get:\r<BR>\n" );
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document.write( "8b/9 + b = 510\r<BR>\n" );
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document.write( "multiply both sides of the equation by 9 to remove the denominator and you get:\r<BR>\n" );
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document.write( "8b + 9b = 4590.\r<BR>\n" );
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document.write( "combine like terms to get 17b = 4590.\r<BR>\n" );
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document.write( "divide both sides by 17 to get b = 270.\r<BR>\n" );
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document.write( "since e = 8b/9, then e must be equal to 8*270/9 = 8*30 = 240.\r<BR>\n" );
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document.write( "ellen invested 240 and bob invested 270.\r<BR>\n" );
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document.write( "total invested is 240 + 270 = 510.\r<BR>\n" );
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document.write( "ratio of investment by ellen to investment by bob is 240 / 270 = 24 / 27 = 8 / 9.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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