Let's go through each step to solve the problem:
Step 1: Determine the 20% tip of the food costs.
The food costs $105.79. To calculate the 20% tip:
\[ \text{Tip} = \text{Food Cost} \times 0.20 = 105.79 \times 0.20 = 21.158 \]
Rounding to the nearest hundredth:
\[ \text{Tip} = 21.16 \]
Step 2: Determine the 9% sales tax of the food costs.
To calculate the 9% sales tax on the food costs:
\[ \text{Sales Tax} = \text{Food Cost} \times 0.09 = 105.79 \times 0.09 = 9.4781 \]
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 calculate the total price by adding the food cost, tip, and sales tax:
\[ \text{Total Price} = \text{Food Cost} + \text{Tip} + \text{Sales Tax} = 105.79 + 21.16 + 9.48 = 136.43 \]
Rounding to the nearest hundredth:
\[ \text{Total Price} = 136.43 \]
Summary of Answers:
- Step 1 Tip: $21.16
- Step 2 Sales Tax: $9.48
- Step 3 Total Price: $136.43