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Question 1125189: 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
How much did each computer cost before finance charges?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! x represents the cost of the desktop before finance charges were applied.
x - 200 represents the cost of the laptop before finance charges were applied.
for the desktop, the interest rate was 9% per year.
for the laptop, the interest rate was 7% per year.
the total finance charges for one year were $306.
your equation is .09 * x + .07 * (x - 200) = 306.
simplify to get .09 * x + .07 * x - .07 * 200 = 306.
combine like terms and simplify further to get .16 * x - 14 = 306.
add 14 to both sides of the equation to get .16 * x = 320.
solve for x to get x = 320 / .16 = 2000.
that's the cost of the desktop.
the cost of the laptop was 200 less = 1800.
desktop costs $2000 and the laptop costs $1800.
9% of 2000 = .09 * 2000 = 180.
7% of 1800 = .07 * 1800 = 126.
total interest charges were $306.
solution looks good.
solution is that the desktop cost $2,000 and the laptop cost $1,800 before finance charges were applied.
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