document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213021>Question 213021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'ts been a while since I've solved these kinds of questions (ok 20+ years!) so I need a refresher.  I looked a similar problems on-line, but am struggling with how to set it up.  Here's the problem:<BR>\n" );
document.write( "Sam invested $5000 for one year, part at 9% annual interest and the rest at 12% annual interest.  The interest from the investment at 9% was $198 more than the interest from the investment at 12%.  How much money did she invest at 9%? </SPAN>\n" );
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document.write( "Let the amount invested at 9% be N<BR>\n" );
document.write( "Then the amount invested at 12% is 5,000 - N\r<BR>\n" );
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document.write( "Now, the interest earned at 9%, less $198 equals the einterest earned at 12%\r<BR>\n" );
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document.write( "Therefore, we'll have: .09N - 198 = .12(5,000 - N)\r<BR>\n" );
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document.write( ".09N - 198 = 600 - .12N\r<BR>\n" );
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document.write( ".09N + .12N = 600 + 198\r<BR>\n" );
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document.write( ".21N  =  798\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+=+798%2F.21 ALIGN=MIDDLE  ALT=\"N+=+798%2F.21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $3,800\r<BR>\n" );
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document.write( "We can conclude that N, or the amount invested at 9% is: $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283800%29 ALIGN=MIDDLE  ALT=\"highlight_green%283800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Amount invested at 9% = $3,800, and interest earned at 9% = (.09 * 3,800) = $342\r<BR>\n" );
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document.write( "Amount invested at 12% = $1,200 (5,000 - 3,800), and interest earned at 12% = (.12 * 1,200) = $144\r<BR>\n" );
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document.write( "Difference: $198 ($342 - $144), with 9% interest earned ($342) being $198 more than 12% interest earned ($144). </SPAN>\n" );
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