document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191699>Question 1191699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man invested P140,000. Part of his capital was invested at 11% and the rest at 9%. If the total income of the investments is P13,900, how much was invested at each rate? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823498 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=823498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = the amount invested at 11%.<BR>\n" );
document.write( "y = the amount invested at 9%.\r<BR>\n" );
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document.write( "your equations are:\r<BR>\n" );
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document.write( "x + y = 140,000<BR>\n" );
document.write( ".11x + .09y = 13,900\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .11 and leave the second equation as it to get:\r<BR>\n" );
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document.write( ".11x + .11y = 15,400<BR>\n" );
document.write( ".11x + 09y = 13,900\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( ".02y = 1,500\r<BR>\n" );
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document.write( "solve for y to get:<BR>\n" );
document.write( "y = 1,500 / .02 = 75,000\r<BR>\n" );
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document.write( "this means that x = 140,000 - 75,000 = 65,000.<BR>\n" );
document.write( "this also means that .11 * x = .11 * 65,000 = 7,150.<BR>\n" );
document.write( "this also means that .09 * y = .09 * 75,000 = 6,750.\r<BR>\n" );
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document.write( "total income is 7,150 + 6,750 = 13,900.<BR>\n" );
document.write( "total invested is 65,000 + 75,000 = 140,000.\r<BR>\n" );
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document.write( "your solution is that 65,000 was invested at 11% and 75,000 was invested at 9%.\r<BR>\n" );
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document.write( "let me know if you have any questions or concerns.<BR>\n" );
document.write( "theo\r<BR>\n" );
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