document.write( "Question 525640: Can someone help me solve this? Thank you.\r
\n" );
document.write( "\n" );
document.write( "Greg bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. He paid dot the computer using two different financing plans. For the desktop the interest rate was 8% per year, and for the laptop it was 6.5% per year. The total finance charges for one year were $335. How much did each computer cost before finance charges? \n" );
document.write( "
Algebra.Com's Answer #348177 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Greg bought a desktop computer and a laptop computer. \n" ); document.write( "Before finance charges, the laptop cost $200 less than the desktop. \n" ); document.write( "Let desktop cost be x \n" ); document.write( "Then laptop cost is x-200 \n" ); document.write( "------------------------------- \n" ); document.write( "He paid for the computers using two different financing plans. \n" ); document.write( "For the desktop the interest rate was 8% per year, and for the laptop it was 6.5% per year. \n" ); document.write( "Interest on desktop = 0.08x \n" ); document.write( "Interest on laptop = 0.065(x-200) \n" ); document.write( "------------------------------ \n" ); document.write( "The total finance charges for one year were $335. \r \n" ); document.write( "\n" ); document.write( "How much did each computer cost before finance charges? \n" ); document.write( "====== \n" ); document.write( "Equation: \n" ); document.write( "interest + interest = interest \n" ); document.write( "0.08x + 0.065(x-200 = 335 \n" ); document.write( "Multiply thru by 1000 to get: \n" ); document.write( "80x + 65x - 65*200 = 335000 \n" ); document.write( "---- \n" ); document.write( "145x = 348000 \n" ); document.write( "x = $2400 (cost of the desktop) \n" ); document.write( "x-220 = $2200 (cost of the laptop) \n" ); document.write( "====================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================================== \n" ); document.write( " |