To solve the problem shown in the first image, we are given the following details:

• Amy paid $58.95 for a pair of running shoes during a 25%-off sale.
• We are asked to find the regular price of the shoes before the discount.

Steps to Solve:

1. Let $P$ represent the regular price of the shoes.

2. Since the shoes were discounted by 25%, Amy paid 75% of the regular price.

   Therefore, the equation is: $0.75 \times P = 58.95$

3. To find the regular price $P$, divide both sides of the equation by 0.75: $P = \frac{58.95}{0.75}$

Let me calculate this for you.The regular price of the shoes was approximately $78.60.

Would you like further details or have any additional questions?

Here are some related questions to explore:

1. How can you calculate the price after any discount if the original price is known?
2. What would be the price if the discount was 30% instead of 25%?
3. How would you adjust the formula if you knew the regular price and needed to find the discounted price?
4. What is the inverse process to find the percentage discount if both prices are given?
5. How can this calculation be applied to bulk purchases with varying discounts?

Tip: To easily calculate percentages, remember that multiplying by the decimal form of the percentage simplifies the math! For instance, 25% is 0.25 and 75% is 0.75.