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?

desktop  cost $2433.33

laptop  cost $2633.33.  

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.  

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