Alice is buying a hammer for $20 and a box of nails for $4. She has a coupon for 10% off. After the discount is applied, the sales tax on the purchase amount is 5%. What is the total Alice must pay?


A.
$22.68

B.
$21.60

C.
$25.20

D.
$23.10

Step 1: Calculate the discount on the total purchase amount

The total purchase amount is $20 (hammer) + $4 (box of nails) = $24.
The discount is 10% of $24 = $2.4.

Step 2: Calculate the purchase amount after the discount is applied
The purchase amount after the discount is $24 - $2.4 = $21.6.

Step 3: Calculate the sales tax on the purchase amount
The sales tax is 5% of $21.6 = $1.08.

Step 4: Calculate the total Alice must pay
The total amount Alice must pay is $21.6 (purchase amount after discount) + $1.08 (sales tax) = $22.68.

Therefore, the correct answer is A. $22.68.

The cost of the hammer is $20 and the cost of the nails is $4, so the total cost before the discount is $20 + $4 = $<<20+4=24>>24.

10% of $24 is $24 * 0.10 = $<<24*0.10=2.40>>2.40.
Therefore, the amount of the discount is $2.40.
After the discount is applied, the total cost is $24 - $2.40 = $<<24-2.40=21.60>>21.60.
The sales tax on the purchase amount is 5% of $21.60, or $21.60 * 0.05 = $<<21.60*0.05=1.08>>1.08.
Therefore, the total Alice must pay is $21.60 + $1.08 = $<<21.60+1.08=22.68>>22.68.
The correct answer is A. $22.68.

To calculate the total amount Alice must pay, we need to follow these steps:

Step 1: Calculate the total cost of the hammer and box of nails before the discount.
The hammer costs $20, and the box of nails costs $4. So, the total cost before the discount is $20 + $4 = $24.

Step 2: Apply the coupon discount.
The coupon gives a 10% discount on the total cost before the discount. To find the discount amount, we multiply the total cost before the discount by 10% (or 0.10). The discount amount is $24 * 0.10 = $2.40.

Step 3: Calculate the total cost after the discount.
To find the total cost after the discount, we subtract the discount amount from the total cost before the discount. The total cost after the discount is $24 - $2.40 = $21.60.

Step 4: Calculate the sales tax on the purchase amount.
The sales tax is 5% of the purchase amount after the discount. To find the sales tax amount, we multiply the total cost after the discount by 5% (or 0.05). The sales tax amount is $21.60 * 0.05 = $1.08.

Step 5: Calculate the total amount Alice must pay.
To find the total amount Alice must pay, we add the total cost after the discount and the sales tax amount. The total amount Alice must pay is $21.60 + $1.08 = $22.68.

Therefore, the answer is A. $22.68.