To solve this problem related to purchasing pizzas and applying a discount, follow these steps:
1. Identify the price of one pizza and the number of pizzas being purchased:
[tex]\[ \text{Price per pizza} = \$8.99 \][/tex]
[tex]\[ \text{Number of pizzas} = 3 \][/tex]
2. Calculate the total cost without any discounts:
[tex]\[
\text{Total cost} = \text{Price per pizza} \times \text{Number of pizzas}
\][/tex]
Substitute the given values:
[tex]\[
\text{Total cost} = 8.99 \times 3 = 26.97
\][/tex]
So, the total cost is \[tex]$26.97.
3. Determine the discount applied by Olive Garden:
\[
\text{Discount} = 10\% = 0.10
\]
4. Calculate the amount of the discount:
\[
\text{Discount amount} = \text{Total cost} \times \text{Discount}
\]
Substitute the total cost:
\[
\text{Discount amount} = 26.97 \times 0.10 = 2.697
\]
Thus, the discount amount is \$[/tex]2.697.
5. Calculate the final cost after applying the discount:
[tex]\[
\text{Final cost} = \text{Total cost} - \text{Discount amount}
\][/tex]
Substitute the values:
[tex]\[
\text{Final cost} = 26.97 - 2.697 = 24.273
\][/tex]
Hence, the final cost is \[tex]$24.273.
In summary, the steps involved in the calculation are:
- Total cost without discount: \$[/tex]26.97.
- Amount of discount: \[tex]$2.697.
- Final cost after applying the discount: \$[/tex]24.273.
