Let's go through the calculations step by step:
Step 1: Determine the 20% tip of the food costs.
The cost of the food is $105.79. To find the 20% tip, we calculate:
\[ \text{Tip} = \text{Food Cost} \times \text{Tip Rate} = 105.79 \times 0.20 = 21.158 \]
Rounding to the nearest hundredth:
\[ \text{Tip} \approx 21.16 \]
Step 2: Determine the 9% sales tax of the food costs.
To find the 9% sales tax, we calculate:
\[ \text{Sales Tax} = \text{Food Cost} \times \text{Tax Rate} = 105.79 \times 0.09 = 9.4781 \]
Rounding to the nearest hundredth:
\[ \text{Sales Tax} \approx 9.48 \]
Step 3: Determine the total price of the meal including the tip and tax.
To find the total cost, we add the food cost, the tip, and the sales tax:
\[ \text{Total} = \text{Food Cost} + \text{Tip} + \text{Sales Tax} = 105.79 + 21.16 + 9.48 \]
Calculating this gives:
\[ \text{Total} \approx 136.43 \]
So, rounding to the nearest hundredth:
\[ \text{Total Price} \approx 136.43 \]
Summary of Results:
- Step 1: 20% Tip = $21.16
- Step 2: 9% Sales Tax = $9.48
- Step 3: Total Price = $136.43