solving a tax rate or interest rate problem using a system ofDonna bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. She paid for the computersusing two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 9.5% per year. The total finance charges forone year were S303. How much did each computer cost before finance charges?Note that the ALEKS graphing calculator can be used to make computations easier.

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SanoraP374453 SanoraP374453 · Answer 1 · 2022-11-03T13:26:46+01:00

Answer

Cost of desktop = $1750

Cost of laptop = $1900

Explanation:

Let the price of the desktop computer be x

Let the price of laptop computer be y

Laptop cost $150 more than desktop

Therefore, the cost of laptop y is given mathematically below

y= x + 150 ------------ equation 1

The interest rate of laptop is 9.5%

The interest rate of desktop is 7%

A sum of $303 was paid for the total financial charges

This statement can be represented mathematically as

0.07x + 0.095y = 303 ------------------ equation 2

Combine the two system of equations together and solve simultaneously

y = x + 150 ------------ equation 1

0.07x + 0.095y = 303 ---equation 2

Substitute the value of y in equation 2

0.07x + 0.095(x + 150 ) = 303

Open the parentheses

0.07x + 0.095x + 14.25 = 303

Collect the like terms

0.07x + 0.095x = 303 - 14.25

0.165x = 288.75

Divide both sides by 0.165

0.165x / 0.165 = 288.75 / 0.165

x = $1750

Find y

Since y = x + 150

x = 1750

y = 1750 + 150

y = $1900

Therefore, the cost of a desktop is $1750 and the cost of a laptop is $1900Answer