document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912195>Question 912195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if $2500 is invested at 2% interest, how much money must be invested at 7% so that the total return of both investments average 6% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553642 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=553642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"$2500 is invested at 2% interest\" so you earn 2500*0.02 = 50 dollars in interest alone in one year.\r<BR>\n" );
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document.write( "Let x = amount of money invested at 7%\r<BR>\n" );
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document.write( "You will earn 0.07x dollars in interest alone \r<BR>\n" );
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document.write( "Total Interest Earned: 50 + 0.07x\r<BR>\n" );
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document.write( "Total Amount Invested: 2500 + x\r<BR>\n" );
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document.write( "The ratio of amount earned to amount invested is forced to be 6%\r<BR>\n" );
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document.write( "(Total Interest Earned)/(Total Amount Invested) = target rate of return\r<BR>\n" );
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document.write( "(50 + 0.07x)/(2500 + x) = 0.06\r<BR>\n" );
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document.write( "Now solve for x\r<BR>\n" );
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document.write( "	(50 + 0.07x)/(2500 + x) = 0.06\r\n" );
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document.write( "	50 + 0.07x = 0.06(2500 + x)\r\n" );
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document.write( "	50 + 0.07x = 0.06(2500) + 0.06(x)\r\n" );
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document.write( "	50 + 0.07x = 150 + 0.06x\r\n" );
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document.write( "	0.07x - 0.06x = 150 - 50\r\n" );
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document.write( "	0.01x = 100\r\n" );
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document.write( "	x = 100/0.01\r\n" );
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document.write( "	x = 10,000\r\n" );
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document.write( "So you need to invest <font color=\"red\">$10,000</font> at 7% so that the total return of both investments average 6% </SPAN>\n" );
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