Question

A sweater that originally cost $38.40 is on sale for 25% off. Carmen has a coupon worth $15.00, but she can only use it if she pays the original price for the sweater. The sales tax for the final amount, after the discount is taken, is 8%. Match each quesbon to the correct answer. Answers may be used more than once. Some answers will not be used What is the cost of the sweater, including tax, if Carmen pays the sale price instead of using the coupon? $25 27 * What is the cost of the sweater, including tax, if Carmen uses the coupon instead of paying the sale price? 1 *: $23.40 :: $28.80 :: $31.10​

Answer 1

The cost of the sweater, including tax, after paying the sale price is $31.10. If Carmen uses the $15 coupon on the original price, the total cost including tax is $25.27.

Step-by-step explanation:

To determine the cost of the sweater, including sales tax, when Carmen pays the sale price, we first calculate the sale price by applying the discount and then add the sales tax. The sweater's original price is $38.40, and the discount is 25%. To find the sale price, multiply the original price by 75% (100% - 25% discount).

$38.40 \times 0.75 = $28.80 (sale price).

Now, we calculate the sales tax by converting the tax rate to a decimal and multiplying it by the sale price:

$28.80 \times 0.08 = $2.30 (sales tax).

Finally, we add the sales tax to the sale price to get the total cost:

$28.80 + $2.30 = $31.10

For the scenario where Carmen uses the coupon, she cannot benefit from the sale discount and must pay the original price. However, she can apply her $15.00 coupon:

$38.40 - $15.00 = $23.40 (after coupon, before tax).

The sales tax on this amount would be:

$23.40 \times 0.08 = $1.87 (sales tax).

Finally, we add the sales tax to the price after the coupon to get the total cost:

$23.40 + $1.87 = $25.27

Answer 2

$25.27

Step-by-step explanation:

cost including tax is $31.10 38.40×25%=9.60

38.40-9.60=$28.80 then 28.80× 8%= 2.30

28.80+2.30= $31.10 the price on sale instead of using the coupon.