Question

a sale is taking place at your local sporting goods store. the store has advertised that all items in the store will be 10% off. if you spent a total of $150.32, determine the amount you would have spent had there not been a sale. round your answer to the nearest cent.
a. $167.02
c. $156.58
b. $163.54
d. $165.35

please select the best answer from the choices provided

a
b
c
d

Explanation:

Step1: Define the problem

Let \( x \) be the original price (without the sale). The sale is 10% off, so the price paid is \( x - 0.10x = 0.90x \). We know the price paid is $150.32, so we have the equation \( 0.90x = 150.32 \).

Step2: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.90: \( x=\frac{150.32}{0.90} \).

Calculating this, \( \frac{150.32}{0.90}\approx167.02 \) (rounded to the nearest cent).

Answer:

A. $167.02