Final answer:
To find the total reduced price, calculate the discount for each item by multiplying the original price by 55%, subtract this from the original price, and then add the results for both items. The sum comes out to $24.525 which rounds to $24.53, matching closest to option C. $24.52.
Step-by-step explanation:
To calculate the reduced total you will pay for a shirt and a pair of pants at a going-out-of-business sale with items at 55% off, first determine the discount on each item, then subtract the discount from the original price to find the reduced price for each item. Finally, add the reduced prices to get the total.
For the shirt:
- Original price of the shirt: $17.50
- Discount on the shirt (55% of $17.50) = 0.55 x $17.50 = $9.625
- Reduced price of the shirt: $17.50 - $9.625 = $7.875
For the pants:
- Original price of the pants: $37.00
- Discount on the pants (55% of $37) = 0.55 x $37 = $20.35
- Reduced price of the pants: $37 - $20.35 = $16.65
Now, add the reduced prices of the shirt and pants to get the total reduced price.
Total reduced price = $7.875 + $16.65 = $24.525
After rounding to the nearest cent, the total is $24.53, so the correct option is C. $24.52 (which should technically be $24.53 but it seems like there might be a small rounding error in the options provided).