Problem
Let \( \mathcal{X} \) represent the original price. A retailer is looking to make \( \$ 125 \) profit after a \( 20 \% \) discount and a \( \$ 5 \) off coupon on a range that cost the retailer \( \$ 255 \) to procure. What was the original price of the range?
Solution
Step 1 ：\( \textrm{Let } \mathcal{X} \textrm{ represent the original price} \)
Step 2 ：\( \mathcal{X} - 0.20 \cdot \mathcal{X} - 5 = 255 + 125 \)
Step 3 ：\( \mathcal{X} = \frac{380}{0.80} \)
