To determine the original price of the MP3 player before the discount, we can follow these steps:
1. Identify the sale discount and sale price:
The MP3 player is advertised with a 25% discount, and the sale price is [tex]$60.
2. Understand the relationship between the sale price and the original price:
The sale price is the result of applying the discount to the original price. If the original price is \( P \), then the sale price is \( P \) minus the discount amount. Here, the discount is 25%, or 0.25, of the original price \( P \).
3. Set up the equation to find the original price:
The sale price can be represented by the equation:
\[
\text{Sale Price} = \text{Original Price} - (\text{Original Price} \times \text{Discount Percentage})
\]
When we plug in the known values:
\[
60 = P - (P \times 0.25)
\]
4. Simplify the equation:
Factor out \( P \) on the right-hand side:
\[
60 = P (1 - 0.25)
\]
Simplify the expression inside the parentheses:
\[
60 = P \times 0.75
\]
5. Solve for the original price \( P \):
To isolate \( P \), divide both sides of the equation by 0.75:
\[
P = \frac{60}{0.75}
\]
When you calculate this, you get:
\[
P = 80
\]
Therefore, the original price of the MP3 player was \$[/tex]80.
