Question

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.
A) y − 0.13y

B) 1.08(0.87y)

C) 0.08(0.87y)

D) y − 0.87y + 0.08y

Answer 1

The answer is B
100% - 13% = 87% or .87
Tax is 8% or .08
Total cost would be 1 + .08 x .87
or 1.08(0.87y)

Answer 2

Solution: The correct option is option (B) 1.08(0.87y).

Explanation:

It is given that the original cost of cards is y. It is also  given that cards was on sale of 13% and the tax in the country is 8%.

There is a sale of 13% it means the prices are 13% less.

13% of y = $\frac{13}{100} (y)$

The price of cards after discount is

$y-\frac{13}{100} (y)=\frac{87}{100} (y)=0.87y$

The price after discount is 0.87y.

It is given that the tax in the country is 8%.

The amount of tax on the cards is calculated as shown below,

$\frac{8}{100}(0.87y)=0.08(0.87y)$

The price after discount is is calculated as shown below,

$0.87y+0.08(0.87y)=1.08(0.87y)$

Therefore, the correct option is option (B) 1.08(0.87y).