Questions: In a sale, the price of a shirt is reduced by 15% and the price of the shirt is now 15.30. What was the initial price of the shirt? Round your answer to the nearest dollar.

Solution Steps

To find the initial price of the shirt, we need to understand that the current price ($15.30) is 85% of the original price (since the price was reduced by 15%). We can set up the equation: \( 0.85 \times \text{original price} = 15.30 \). Solving for the original price will give us the answer.

Let the original price of the shirt be denoted as \( x \). Since the price was reduced by \( 15\% \), the current price can be expressed as: \[ 0.85x = 15.30 \]

To find \( x \), we rearrange the equation: \[ x = \frac{15.30}{0.85} \]

Calculating the value gives: \[ x = 18.00 \] Rounding to the nearest dollar, we have: \[ x \approx 18 \]

Final Answer