document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031124>Question 1031124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trey bought a desktop computer and a laptop computer. Before finance charges, the laptop cost <BR>\n" );
document.write( "$200<BR>\n" );
document.write( "less than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was <BR>\n" );
document.write( "9%<BR>\n" );
document.write( " per year, and for the laptop it was <BR>\n" );
document.write( "7%<BR>\n" );
document.write( " per year. The total finance charges for one year were <BR>\n" );
document.write( "$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 #645910 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=645910\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = price of a desktop computer<BR>\n" );
document.write( "y = price of a laptop computer\r<BR>\n" );
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document.write( "the price of the laptop computer is 200 less than the price of a desktop computer.\r<BR>\n" );
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document.write( "this means that y = x - 200.\r<BR>\n" );
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document.write( "i1 = interest on desktop computer.<BR>\n" );
document.write( "i2 = interest on laptop computer.\r<BR>\n" );
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document.write( "i1 = .09 * x<BR>\n" );
document.write( "i2 = .07 * y\r<BR>\n" );
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document.write( "the total finance charges for one year are 306.\r<BR>\n" );
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document.write( "this means that i1 + i2 = 306 which means that .09x + .07y = 306.\r<BR>\n" );
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document.write( "since y = x - 100, this formula becomes .09x + .07(x-200) = 306.\r<BR>\n" );
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document.write( "simplify to get .09x + .07x - 14 = 306\r<BR>\n" );
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document.write( "combine like terms to get .16x - 14 = 306.\r<BR>\n" );
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document.write( "add 14 to both sides of the equation to get .16x = 320.\r<BR>\n" );
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document.write( "divide both sides of this equation by .16 to get x = 2000.\r<BR>\n" );
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document.write( "since y = x - 100, this means that y is equal to 1800.\r<BR>\n" );
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document.write( "the desktop computer cost 2000.<BR>\n" );
document.write( "the laptop computer cost 1800.\r<BR>\n" );
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document.write( ".09 * 2000 = 180.<BR>\n" );
document.write( ".07 * 1800 = 126.\r<BR>\n" );
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document.write( "180 + 126 = 306.\r<BR>\n" );
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document.write( "solution is confirmed to be correct.\r<BR>\n" );
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document.write( "the desktop computer cost 2000 before the finance charge was applied.<BR>\n" );
document.write( "the laptop computer cost 1800 before the finance charge was applied.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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