SOLUTION: Latoya bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $300 more than the desktop. She paid for the computers using two different finan

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Question 1029259: Latoya bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$300
more than the desktop. She 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
$365
. How much did each computer cost before finance charges?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Latoya bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$300
more than the desktop. She 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
$365
. How much did each computer cost before finance charges?
------------------------
Value Eq:: C = L + 300
Interest Eq::9C + 7L = 36500
=======
Modify for elimination::
9C - 9L = 9*200
9C + 7L = 36500
-----------------------
16L = 34700
Laptop cost = $2168.75
Computer cost:: subtract $300
------------------------
Cheers,
Stan H.
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Answer by MathTherapy(10549) (Show Source):
You can put this solution on YOUR website!

Latoya bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$300
more than the desktop. She 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
$365
. How much did each computer cost before finance charges?

Cost of desktop:
Cost of laptop: