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Question 1053990: Rafael bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$250
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
6%
per year. The total finance charges for one year were
$300
. How much did each computer cost before finance charges?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Rafael bought a desktop computer and a laptop computer.
Before finance charges, the laptop cost $250 less than the desktop.
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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 6% per year.
The total finance charges for one year were $300
. How much did each computer cost before finance charges?
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L = D-250
Interest Eq:: 0.09D + 0.06L = 300
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Substitute for "L" and solve for "D"::
9D + 6(D-250) = 30000
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15D - 1500 = 30000
D - 100 = 2000
Desktop cost = $2100
Laptop cost = D-250 = $1850
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Cheers,
Stan H.
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