A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.

Question

Blue sandals original price: $75
If she buys the blue sandals. what is the final price Kelly will pay? Round to the nearest cent

Answer 1

To calculate the final price Kelly will pay for the blue sandals after applying the discounts, we can follow these steps:

1. Calculate the clearance sale price after the initial 55% discount.
2. Calculate the additional 10% off the clearance sale price.
3. Determine the final price.

Step 1: Calculate the clearance sale price

• Original price of blue sandals = $75
• Discount = 55%

Clearance sale price = Original price × (1 - Discount) \[ \text{Clearance sale price} = 75 \times (1 - 0.55) = 75 \times 0.45 = 33.75 \]

Step 2: Calculate the additional 10% off

• Additional discount = 10% of the clearance price

\[ \text{Additional discount} = 33.75 \times 0.10 = 3.375 \]

Step 3: Determine the final price

Final price = Clearance sale price - Additional discount \[ \text{Final price} = 33.75 - 3.375 = 30.375 \]

Rounding to the nearest cent, the final price Kelly will pay for the blue sandals is $30.38.