Question

The original price of a pair of headphones is $89.99 before tax. When Brenda bought the headphones they rang up for $49.50 before tax. She then paid sales tax of 8% on the discounted price.

Part A: What is the percent discount on the headphones?
Part B: What is the total amount that Brenda paid for the headphones, including tax?

Answer 1

Brenda received a 44.99% discount on the headphones, and paid a total of $53.46 including an 8% sales tax on the discounted price of $49.50.

Step-by-step explanation:

Calculating the Percent Discount and Total Cost

To calculate the percent discount Brenda received on the headphones, we subtract the sale price from the original price, then divide by the original price, and finally multiply by 100 to get the percentage:

(Original Price - Sale Price) / Original Price × 100

($89.99 - $49.50) / $89.99 × 100

$40.49 / $89.99 × 100 ≈ 44.99%

Thus, the percent discount on the headphones is approximately 44.99%.

To find out the total amount Brenda paid including tax, we first calculate the sales tax by converting the percentage to a decimal and multiplying it by the discounted price:

$49.50 × 0.08 = $3.96

Then, we add the sales tax to the discounted price:

$49.50 + $3.96 = $53.46

Therefore, the total amount Brenda paid for the headphones, including tax, is $53.46.