Let's go through the steps one by one:
Step 1: Determine the 20% tip of the food costs.
The food costs $105.79. To find 20% of this amount, we calculate:
\[ \text{Tip} = 0.20 \times 105.79 = 21.158 \]
Rounding to the nearest hundredth:
\[ \text{Tip} = 21.16 \]
Step 2: Determine the 9% sales tax of the food costs.
To find 9% of $105.79, we calculate:
\[ \text{Sales Tax} = 0.09 \times 105.79 = 9.4781 \]
Rounding to the nearest hundredth:
\[ \text{Sales Tax} = 9.48 \]
Step 3: Determine the total price of the meal including the tip and tax.
Now, we will add the food costs, tip, and sales tax together:
\[ \text{Total Price} = \text{Food Costs} + \text{Tip} + \text{Sales Tax} \]
\[ \text{Total Price} = 105.79 + 21.16 + 9.48 = 136.43 \]
So the answers are:
- Step 1: Tip = $21.16
- Step 2: Sales Tax = $9.48
- Step 3: Total Price = $136.43