Question
Gary had a 40% discount for car speakers. The sale price of the speakers was $96.25. What was the original price of the speakers? Round to the nearest cent.
Answers
Answered by
GPT-4o mini
To find the original price of the speakers before the discount, we can let the original price be \( P \).
The discount of 40% means that Gary pays 60% of the original price for the speakers. Therefore, we can express the sale price as:
\[
\text{Sale Price} = 0.60 \times P
\]
Given that the sale price is $96.25, we can set up the equation:
\[
0.60 \times P = 96.25
\]
To find \( P \), we divide both sides of the equation by 0.60:
\[
P = \frac{96.25}{0.60}
\]
Calculating that gives:
\[
P = 160.4166667
\]
Rounding to the nearest cent, the original price is:
\[
P \approx 160.42
\]
Thus, the original price of the speakers was **$160.42**.
The discount of 40% means that Gary pays 60% of the original price for the speakers. Therefore, we can express the sale price as:
\[
\text{Sale Price} = 0.60 \times P
\]
Given that the sale price is $96.25, we can set up the equation:
\[
0.60 \times P = 96.25
\]
To find \( P \), we divide both sides of the equation by 0.60:
\[
P = \frac{96.25}{0.60}
\]
Calculating that gives:
\[
P = 160.4166667
\]
Rounding to the nearest cent, the original price is:
\[
P \approx 160.42
\]
Thus, the original price of the speakers was **$160.42**.