Question

A sweater which originally cost $38.40 is on sale for 25% off. Carmen has a gift card worth $15 off, but the gift card can only be used if she pays the original price for the sweater. The sales tax for the final amount, after the discount is taken, is 8%. If the store allows her to use the gift card after the sweater has been discounted by 25%, how much will Carmen pay, including tax?

Answer 1

To calculate the final cost after a 25% discount, subtracting a $15 gift card, and adding 8% sales tax, the price of the sweater becomes $28.80 after discount, $13.80 after subtracting the gift card, and $14.90 including the sales tax.

Step-by-step explanation:

The student is asking about calculating the final price of a discounted item with sales tax and a gift card. To solve this, we need to apply the discount, subtract the gift card value, and then calculate the sales tax.

First, we find the sale price by applying the 25% discount to the original price of $38.40:

$38.40 × 0.75 = $28.80

Next, since the gift card can be used along with the discount, we subtract the $15 from the discounted price:

$28.80 - $15 = $13.80

Now, we calculate the sales tax of 8% on $13.80:

$13.80 × 0.08 = $1.10

Finally, we add the sales tax to the price after the discount and gift card have been applied:

$13.80 + $1.10 = $14.90

Carmen will pay $14.90 including tax.