Question

You have 25% off total purchase coupon for a store. What is the original cost if the total is $78.75 after the coupon discount?

Answer 1

x = $105.

Explanation:

Let's assume the original cost before the discount is represented by the variable x.

2. Since the coupon offers a 25% discount, we can calculate the discount amount by multiplying the original cost (x) by 25% (0.25): 0.25x.

3. The final total after the coupon discount is $78.75, so we can write the equation: x - 0.25x = $78.75.

4. Simplifying the equation, we have: 0.75x = $78.75.

5. To solve for x, we divide both sides of the equation by 0.75: x = $78.75 / 0.75.

6. Evaluating the right side of the equation, we find that x = $105.

Therefore, the original cost before the 25% discount coupon is $105.