Final answer:
The reduced total for a shirt priced at $17.50 and a pair of pants priced at $37 with a 55% discount is $24.52, option C.
Step-by-step explanation:
To calculate the reduced total the student will pay, we need to find the sale price of each item, then add them together. Starting with the shirt priced at $17.50, we calculate 55% off as follows:
Sale Price of Shirt = Original Price - Discount = $17.50 - ($17.50 × 0.55) = $17.50 - $9.625 = $7.875
Doing the same for the pair of pants which are $37:
Sale Price of Pants = Original Price - Discount = $37 - ($37 × 0.55) = $37 - $20.35 = $16.65
The combined cost of both items on sale is the sum of both sale prices:
Reduced Total = Sale Price of Shirt + Sale Price of Pants = $7.875 + $16.65 = $24.52
Therefore, the reduced total you will pay for both the shirt and the pants is $24.52, which corresponds to option C.