Help me please im having alot of trouble

Question

Jina 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:___$

Laptop :___$

Answer 1

Let x = laptop

Let y = desktop

The first equation

x=200+y (the laptop costs more than the desktop)

The finance equation is next

0.07x+0.05y=350 (Make sure the right interest rate get assigned to the right variable)

Can you solve the system of equations using substitution or elimination?

Answer 2

Let's make the cost of the desktop, D

and the cost of the laptop, D + 200

To compute finance charges, apply the respective rates for a total of $350

D(0.05) + (D+200)(0.07) = 350

0.05D + 0.07D + 14 = 350

0.12D = 336

D= 2800

Therefore, the desktop cost $2800 and the laptop cost $3000.

Hope this helps!

Answer 3

Purchase Price = x for Desktop + (x+200) for Laptop

Finance charges are [.05x + .07(x+200)} = $350

Solving: x = $2800 for the Desktop and

x+$200 = $3000 for the laptop