document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134608>Question 1134608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 7% per year. The total finance charges for one year were $306. How much did each computer cost before finance charges? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752030 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=752030\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let D equal the price of the desktop.<BR>\n" );
document.write( "let L equal the price of the laptop.\r<BR>\n" );
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document.write( "the laptop costs 200 less than the desktop.\r<BR>\n" );
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document.write( "that gets you L = D - 200\r<BR>\n" );
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document.write( "the finance charge for the desktop was 9% and the finance charge for the laptop was 7% and the total finance charges were $306 for one year.\r<BR>\n" );
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document.write( "that gets you .09 * D + .07 * L = 306.\r<BR>\n" );
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document.write( "in the second equation, replace L with D - 200 to get.09 * D + .07 * (D - 200) = 306.\r<BR>\n" );
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document.write( "simplify to get .09 * D + .07 * D - .07 * 200 = 306.\r<BR>\n" );
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document.write( "simplify further and combine like terms to get .16 * D - 14 = 306.\r<BR>\n" );
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document.write( "add 14 to both sides of the equation to get .16 * D = 320.\r<BR>\n" );
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document.write( "solve for D to get D = 2000.\r<BR>\n" );
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document.write( "since L = D - 200, then L = 1800.\r<BR>\n" );
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document.write( "the cost of the desktop is 2000 and the cost of the laptop is 1800.\r<BR>\n" );
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document.write( "the total finance charge for one year is equal to .09 * the desktop and .07 * the laptop.\r<BR>\n" );
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document.write( "that makes the total finance charge for the year equal to .09 * 2000 + .07 * 1800 = 306.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "solution is that the desktop cost $2000 and the laptop cost $1800 before the finance charges were applied.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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