Pablo bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $300 less than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was 6% per year, and for the laptop it was 7% per year. The total finance charges for one year were $252. How much did each computer cost before finance charges?

Desktop Cost = $2,100

Laptop Cost = $1,800

Explanation:

Let A = Cost of desktop

Let B = Cost of Laptop

The total finance charge for 1 years is given by

(0.06)A + (0.07)B = 252

(0.06)A + (0.07)(A-300) = 252

(0.06)A + (0.07)A-300 = 252

(0.06)A + 0.07A - 21 = 252

(0.06)A + 0.07A = 252 + 21

0.06A + 0.07A = 273

0.13A  = 273

A = 2100

Hence, Desktop Cost = $2,100

Therefore, the Laptop Cost = $2,100 - $300 = $1,800

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