Final answer
The problem involves finding the original price of a pair of sunglasses based on the refund received. When someone returns an item and receives a refund, the refunded amount usually constitutes the difference between what they paid initially and what they received back. In this case, if the refund received was $14.75, this implies that this amount was returned to the individual upon returning the sunglasses.
Step-by-step explanation:
To determine the original price of the sunglasses, we can set up an equation. Let the original price of the sunglasses be represented by 'x'. The equation becomes x - $14.75 = $14.75 because the refunded amount is subtracted from the original price, resulting in the refund itself. Solving this equation allows us to find the value of 'x', which represents the original price.
When we solve for 'x', we find that x = $14.75 + $14.75, which simplifies to $29.50. However, this value represents both the original price and the refund combined. The original price of the sunglasses, therefore, would be $29.50 - $14.75, which equals $14.75. Thus, the original price of the sunglasses was $16.75.
Therefore, the original cost of the sunglasses can be calculated by adding the refunded amount to the actual refund, which gives the total cost initially paid by the person. Subtracting the refund from this total provides the original price of the sunglasses, which in this case is $16.75.