Select the correct answer.

Wallace received a 28 percent discount on an item priced at [tex]\[tex]$275[/tex]. What is the total price that he paid for it?

\[ \text{Cost after discount} = \text{price} \times (1 - \text{discount percentage}) \]

A. [tex]\$[/tex]77[/tex]
B. [tex]\[tex]$198[/tex]
C. [tex]\$[/tex]206[/tex]



Answer :

To determine the total price that Wallace paid for the item after receiving a 28 percent discount on an item priced at [tex]$275, we can follow these steps: 1. Understand the given information: - Original price of the item: $[/tex]275
- Discount percentage: 28%

2. Convert the discount percentage to a decimal:
- To do this, divide the percentage by 100.
- [tex]\( \text{Discount percentage as a decimal} = \frac{28}{100} = 0.28 \)[/tex]

3. Calculate the amount of discount:
- Multiply the original price by the discount percentage in decimal form.
- [tex]\( \text{Amount of discount} = 275 \times 0.28 \)[/tex]

4. Subtract the discount from the original price:
- To get the total price paid after the discount, subtract the amount of discount from the original price.
- Since [tex]\( \text{Total price paid} = 275 \times (1 - 0.28) \)[/tex]


5. Compute the total price paid:
- [tex]\( \text{Total price paid} = 275 \times 0.72\)[/tex]

After following these steps, we find that the total price Wallace paid for the item is [tex]$198. So, the correct answer is: B. \$[/tex]198