document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=404445>Question 404445</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Gibsons invested $7000, part at 6% and the rest at 10% simple annual intrest. If they had reversed the amounts invested at each rate, they would have earned $120 less in annual intrest. How much was invested at each rate?\r<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 #285800 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=285800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Gibsons invested $7000, part at 6% and the rest at 10% simple annual intrest. If they had reversed the amounts invested at each rate, they would have earned $120 less in annual interest. How much was invested at each rate? \r<BR>\n" );
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document.write( "Original Int: 0.06x + 0.10(7000-x)<BR>\n" );
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document.write( "Reversed Int: 0.10x + 0.06(7000-x)<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "original - reversed = 120<BR>\n" );
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document.write( "[0.06x + 0.10(7000-x)] - [0.10x + 0.06(7000-x)] = 120<BR>\n" );
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document.write( "[-0.04x + 0.04(7000-x)] = 120<BR>\n" );
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document.write( "-0.04x + 0.04*7000 - 0.04x = 120<BR>\n" );
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document.write( "-0.08x = 120-0.04*7000<BR>\n" );
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document.write( "-0.08x = -160<BR>\n" );
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document.write( "x = $2000 (amt. invested at 6%)<BR>\n" );
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document.write( "7000-x = $5000 (amt. invested at 10%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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