Question

trey bought a sofa on sale for $139.20. this price was 24% of the original price. what was the original price? $

Explanation:

Step1: Define the variable

Let \( x \) be the original price of the sofa.

Step2: Set up the equation

We know that 24% of the original price is equal to the sale price of $139.20. Mathematically, this can be written as \( 0.24x = 139.20 \) (since 24% is equivalent to 0.24 in decimal form).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.24: \( x=\frac{139.20}{0.24} \).
Calculating the right - hand side, \( \frac{139.20}{0.24}=580 \).

Answer:

The original price of the sofa is $580.