Question

Rita bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 5% per year, and for the laptop it was 7% per year. The total finance charges for one year were $350. How much did each computer cost before finance charges?

Answer 1

desktop cost $2433.33

laptop cost $2633.33.

Step-by-step explanation:

Let x = desktop price

let y = laptop price

from the information given in the question, laptop price is 200 more than the desktop price.

which mean, y = x + 200.

R_1 = Rate of interest on desktop.

R_2 = Rate of interest on laptop.

R_1 = 0.05 * x

R_2 = 0.07 * y

The total finance charges for one year is 350.

therefore

R_1 + R_2 = 350

0.05x + .07y = 350.

since y = x + 200,

.05x + .07(x+200) = 306.

.05x + .07x + 14 = 306

0.12X = 292

X = $2433.33

We know that

since y = x + 200,

therefore y = $2633.33.

desktop cost $2433.33

laptop cost $2633.33.