document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111648>Question 1111648</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain amount of money is invested at 6% per year. A second amount is Php5000 larger than the first is invested at 8% per year. The interest from the investment at the higher rate exceeds the income from the lower investment by Php500. Find the investment at each rate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726638 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=726638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x equals the amount invested at 6%.<BR>\n" );
document.write( "x + 1000 equals the amount invested at 8%.\r<BR>\n" );
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document.write( "the interest on the amount invested at 8% is 500 more than the interest on the amount invested at 6%.\r<BR>\n" );
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document.write( "the equation for that is:\r<BR>\n" );
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document.write( ".08 * (x + 1000) = .06 * x + 500\r<BR>\n" );
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document.write( "simplify to get .08 * x +  80 = .06 * x + 500\r<BR>\n" );
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document.write( "subtract .06 * x from both sides of this equation and subtract 80 from both sides of this equation to get:\r<BR>\n" );
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document.write( ".02 * x = 420\r<BR>\n" );
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document.write( "divide both sides of this equation by .02 to get:\r<BR>\n" );
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document.write( "x = 420 / .02 = 21,000\r<BR>\n" );
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document.write( "go back to your original equation and replace x with 21,000.\r<BR>\n" );
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document.write( "the original equation is .08 * (x + 1000) = .06 * x + 500\r<BR>\n" );
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document.write( "replace x with 21,000 to get:\r<BR>\n" );
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document.write( ".08 * 22,000) = .06 * 21,000 + 500\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "1,760 = 1,760, which is true.\r<BR>\n" );
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document.write( ".08 * 22,000 = 1,760<BR>\n" );
document.write( ".06 * 21,000 = 1,260\r<BR>\n" );
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document.write( "the difference is 500, as stated in the problem statement.\r<BR>\n" );
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document.write( "the solution is:\r<BR>\n" );
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document.write( "21,000 was invested at 6% and 22,000 was invested at 8%.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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