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Hector spent $41.75 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 :

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.

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