document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011881>Question 1011881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An amount of P340000 is invested, part at 8% and the remainder at 9%. Find the amount invested at each rate if the yearly income on each investment is the same. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627698 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=627698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = part invested at 8%.<BR>\n" );
document.write( "y = part invested at 9%\r<BR>\n" );
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document.write( "x + y = 340,000\r<BR>\n" );
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document.write( ".08x = .09y\r<BR>\n" );
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document.write( "solve for x to get x = .09y/.08 which becomes x = 1.125y\r<BR>\n" );
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document.write( "in the equation x + y = 340,000, replace x with 1.125y to get 1.125y + y = 340,000.\r<BR>\n" );
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document.write( "combine like terms to get 2.125y = 340,000.\r<BR>\n" );
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document.write( "solve for y to get y = 340,000 / 2.125 = 160,000.\r<BR>\n" );
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document.write( "since x = 1.125y, you get x = 1.125 * 160,000 = 180,000.\r<BR>\n" );
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document.write( "the amount invested at 8% is 180,000.\r<BR>\n" );
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document.write( "the amound invested at 9% is 160,000\r<BR>\n" );
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document.write( ".08 * 180,000 = 14,400.\r<BR>\n" );
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document.write( ".09 * 160,000 = 14,400.\r<BR>\n" );
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document.write( "the income is the same, so the solution is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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