Question

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.

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**.