amy paid $65.53 for a pair of running shoes during a 25% off sale. what was the regular price?
Didn't she pay 75 percent of the price?
.75P=65.53
To find the regular price of the running shoes, we will need to reverse the 25% discount that Amy received.
Let's use the following steps to find the regular price:
Step 1: Determine the discount amount.
Discount = 25% of the regular price
Step 2: Calculate the discount amount.
Discount amount = Discount × Regular price
Step 3: Calculate the sale price (the price Amy paid).
Sale price = Regular price - Discount amount
Step 4: Solve for the regular price.
Regular price = Sale price + Discount amount
Using these steps, let's calculate the regular price:
Step 1: Determine the discount amount.
Discount = 25% = 0.25
Step 2: Calculate the discount amount.
Discount amount = 0.25 × Regular price
Step 3: Calculate the sale price.
Sale price = Regular price - Discount amount = Regular price - 0.25 × Regular price = 0.75 × Regular price
Step 4: Solve for the regular price.
Regular price = Sale price + Discount amount = 0.75 × Regular price + 0.25 × Regular price = 1 × Regular price
Given that Amy paid $65.53 for the running shoes during the sale, which represents the sale price, we can set up the equation:
$65.53 = 0.75 × Regular price
To find the regular price, we divide both sides of the equation by 0.75:
Regular price = $65.53 / 0.75
Calculating the division:
Regular price ≈ $87.37
Therefore, the regular price of the running shoes was approximately $87.37.