Question

1. amir used a coupon to buy new shoes. the original cost of the shoes was $124. after using his coupon, the new cost of the shoes before tax was $86.80. what percent did amir’s coupon take off the original price? show your work.

Explanation:

Step1: Find the discount amount

Subtract the new cost from the original cost. So, \( 124 - 86.80 = 37.2 \) dollars.

Step2: Calculate the percentage discount

Use the formula \( \text{Percentage Discount} = \frac{\text{Discount Amount}}{\text{Original Price}} \times 100\% \). Substitute the values: \( \frac{37.2}{124} \times 100\% \). First, \( 37.2\div124 = 0.3 \), then \( 0.3\times100\% = 30\% \).

Answer:

The coupon took off \( 30\% \) of the original price.