Hector spent $25.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Respuesta :

Answer:

The cost of each DVD is $11.8 .

Step-by-step explanation:

Let us assume that the cost of one DVD be x.

As given

Hector spent $25.75 for 2 DVDs that cost the same amount.

The sales tax on his purchase was $3.15.

Hector also used a coupon for $1.00 off his purchase.

Than the equation

Total Hector Spents for two DVDs = 2 × cost of one DVD + Sales tax + Coupon cost .

Putting the value

25.75 = 2x + 3.15 - 1.00

25.75 = 2x +2.15

25.75 - 2.15 = 2x

23.6 = 2x

[tex]x = \frac{23.6}{2}[/tex]

x = $11.8

Therefore the cost of each DVD is $11.8 .