Question

1. a store is having a 20%-off sale on all merchandise. if mai buys one item and saves $13, what was the original price of her purchase? explain or show your reasoning.

Explanation:

Step1: Define variables

Let $x$ = original price (in dollars).

Step2: Relate discount to savings

20% of $x$ equals $13$, so:
$0.20x = 13$

Step3: Solve for original price

Rearrange to isolate $x$:
$x = \frac{13}{0.20}$

Answer:

The original price of the item is $\$65$.