Luke bought a pair of shoes online for $78. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.

Answer 1

To find the processing fee on the shoes after applying the discount, we can follow these steps:

1. Calculate the discount amount: Since Luke got a 40% discount on the original price of $78, we can calculate the discount as follows:

   \[ \text{Discount} = \text{Original Price} \times \text{Discount Rate} = 78 \times 0.40 = 31.20 \]

2. Calculate the price after the discount: We subtract the discount amount from the original price:

   \[ \text{Price after discount} = \text{Original Price} - \text{Discount} = 78 - 31.20 = 46.80 \]

3. Calculate the processing fee: The website applies a 20% processing fee to the price after the discount. We calculate the processing fee as follows:

   \[ \text{Processing Fee} = \text{Price after discount} \times \text{Processing Fee Rate} = 46.80 \times 0.20 = 9.36 \]

Thus, the amount of the processing fee is $9.36.