Final answer:
To find the original price of the shoes before the 15% discount, an equation was used where the original price, represented as x, minus 15% of x equals the sale price of $42.50. After rearranging the equation and solving for x, it was determined that the original price of the shoes was $50.
Step-by-step explanation:
To calculate the original price of the Converse Chuck Taylor All Star sneakers before the 15% discount, we can set up an equation. Let's say the original price is x. A 15% discount was applied, resulting in a sale price of $42.50. To find the original price, we use the equation:
x - 0.15x = $42.50
This simplifies to:
0.85x = $42.50
Now, we solve for x:
x = $42.50 / 0.85
x = $50
Therefore, the original price of the shoes was $50, which corresponds to option b).