document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125189>Question 1125189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juan 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<BR>\n" );
document.write( "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 #741504 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=741504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x represents the cost of the desktop before finance charges were applied.\r<BR>\n" );
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document.write( "x - 200 represents the cost of the laptop before finance charges were applied.\r<BR>\n" );
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document.write( "for the desktop, the interest rate was 9% per year.\r<BR>\n" );
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document.write( "for the laptop, the interest rate was 7% per year.\r<BR>\n" );
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document.write( "the total finance charges for one year were $306.\r<BR>\n" );
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document.write( "your equation is .09 * x + .07 * (x - 200) = 306.\r<BR>\n" );
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document.write( "simplify to get .09 * x + .07 * x - .07 * 200 = 306.\r<BR>\n" );
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document.write( "combine like terms and simplify further to get .16 * x - 14 = 306.\r<BR>\n" );
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document.write( "add 14 to both sides of the equation to get .16 * x = 320.\r<BR>\n" );
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document.write( "solve for x to get x = 320 / .16 = 2000.\r<BR>\n" );
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document.write( "that's the cost of the desktop.\r<BR>\n" );
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document.write( "the cost of the laptop was 200 less = 1800.\r<BR>\n" );
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document.write( "desktop costs $2000 and the laptop costs $1800.\r<BR>\n" );
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document.write( "9% of 2000 = .09 * 2000 = 180.<BR>\n" );
document.write( "7% of 1800 = .07 * 1800 = 126.\r<BR>\n" );
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document.write( "total interest charges were $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 $2,000 and the laptop cost $1,800 before finance charges were applied.\r<BR>\n" );
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