Question

12. Serena Williams wants to buy a sweater that had an original price of $75. 1 pc The sweater is now discounted 25% and the sales tax rate is 5%. How much will Serena pay for the sweater?*

Answer 1

After applying a 25% discount to the original price of $75 and adding a 5% sales tax to the discounted price, Serena Williams will pay a total of $59.06 for the sweater.

Step-by-step explanation:

The question involves calculating the final price of a sweater after applying a discount and then adding sales tax. Serena Williams wants to buy a sweater originally priced at $75 with a discount of 25% and a sales tax of 5%. First, we calculate the discounted price of the sweater by taking 25% off the original price. Then, we add a 5% sales tax to the discounted price to find the total cost that Serena will pay for the sweater.

To calculate the discount:

1. Convert the percentage to a decimal form: 25% = 0.25.
2. Multiply the original price by the decimal: $75 * 0.25 = $18.75.
3. Subtract the discount from the original price: $75 - $18.75 = $56.25.

Now, to calculate the sales tax on the discounted price:

1. Convert the sales tax rate to a decimal: 5% = 0.05.
2. Multiply the discounted price by the sales tax rate: $56.25 * 0.05 = $2.81.
3. Add the sales tax to the discounted price: $56.25 + $2.81 = $59.06.

Therefore, the total cost of the sweater, including sales tax, will be $59.06.

Answer 2

$59.06

EXPLANATION

The original price of the sweater is $75.

It is discounted by 25%, so we have to subtract 25% of $75 from the original price.

We have:

`(25)/(100)\cdot\text{ 75 = \$18.75}`

Subtracting that from the original price:

$75 - $18.75 = $56.25

She pays a sales tax of 5%, so we have to find 5% of the new price and add it to that price.

We have:

`(5)/(100)\cdot\text{ 56.25 = \$2.81}`

Adding that to the new price:

$56.25 + $2.81 = $59.06

Serena will pay $59.06 for the sweater.