Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the store and can give her an additional 10% off. If the sales tax is 7.5%, how much does Claire pay for the dress?

Question

a.
$93.24
b.
$103.20
c.
$108.36
d.
$120.40

Answer 1

To determine how much Claire pays for the dress, we can follow these steps:

1. Calculate the sale price after the 30% discount:

   • The original price of the dress is $160.
   • The discount amount is \(30%\) of \(160\): \[ \text{Discount} = 160 \times 0.30 = 48 \]
   • The sale price after the discount: \[ \text{Sale Price} = 160 - 48 = 112 \]

2. Calculate the additional 10% discount from her aunt:

   • The amount of the additional discount is \(10%\) of \(112\): \[ \text{Aunt's Discount} = 112 \times 0.10 = 11.20 \]
   • The price after the aunt's discount: \[ \text{Price After Aunt's Discount} = 112 - 11.20 = 100.80 \]

3. Calculate the sales tax (7.5%):

   • The sales tax amount is \(7.5%\) of \(100.80\): \[ \text{Sales Tax} = 100.80 \times 0.075 = 7.56 \]
   • The total amount Claire pays is the price after discounts plus the sales tax: \[ \text{Total Price} = 100.80 + 7.56 = 108.36 \]

Thus, the total amount Claire pays for the dress is \(\boxed{108.36}\). The correct answer is c. $108.36.