Amy bought a box of chocolates originally priced at $14. She received a 15% discount on the original price, and then she paid a 4% sales tax on the purchase price. What is the total amount that Amy paid for the box of chocolates?

1 answer

To find the total amount that Amy paid for the box of chocolates, we need to follow these steps:

  1. Calculate the amount of the discount.
  2. Find the purchase price after applying the discount.
  3. Calculate the sales tax on the discounted price.
  4. Add the sales tax to the discounted price to find the total amount paid.

Step 1: Calculate the discount. The original price of the chocolates is $14 and the discount is 15%.

\[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 14 \times 0.15 = 2.1 \]

Step 2: Calculate the purchase price after the discount. Subtract the discount from the original price.

\[ \text{Discounted Price} = \text{Original Price} - \text{Discount} = 14 - 2.1 = 11.9 \]

Step 3: Calculate the sales tax on the discounted price. The sales tax rate is 4%.

\[ \text{Sales Tax} = \text{Discounted Price} \times \text{Sales Tax Rate} = 11.9 \times 0.04 = 0.476 \]

Step 4: Calculate the total amount paid. Add the sales tax to the discounted price.

\[ \text{Total Amount Paid} = \text{Discounted Price} + \text{Sales Tax} = 11.9 + 0.476 = 12.376 \]

Rounding to the nearest cent, the total amount Amy paid for the box of chocolates is:

\[ \boxed{12.38} \]