document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2371>Question 2371</A>: <I><SPAN STYLE=\"word-break: break-all;\">     Question: Suppose you invested $10,000, part at 6% annual intrest and the rest at 9% annual intrest. If you received $684 in intrest after on year, how much did you invest 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 #997 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First define...\r<BR>\n" );
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document.write( "Let x = amount invested at 6% rate<BR>\n" );
document.write( "Let y = amount invested at 9% rate\r<BR>\n" );
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document.write( "so, after 1 year, 0.06x + 0.09y = 684 --eqn1\r<BR>\n" );
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document.write( "Also, we know that x+y=10000 --eqn2\r<BR>\n" );
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document.write( "Eqn2 is re-written as x=10000-y, and then sub this into eqn1, to give \r<BR>\n" );
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document.write( "0.06(10000-y) + 0.09y = 684<BR>\n" );
document.write( "600 - 0.06y + 0.09y = 684<BR>\n" );
document.write( "0.03y = 84<BR>\n" );
document.write( "y = 2,800\r<BR>\n" );
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document.write( "so, x= 7200\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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