Question

Keith bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 5.5% per year. The total finance charges for one year were $227. How much did each computer cost before finance charges

Answer 1

Answer: desktop = $1750, laptop = $1900

Explanation:

Let x represent the cost of the desktop

then x + 150 is the cost of the laptop.

.07x + .055(x + 150) = 227

.07x + .055x + 8.25 = 227

.125x = 218.75

x = 1750

desktop (x) = $1750

laptop (x + 150) = $1750 + $150 = $1900