Let's go through the steps one by one.
Step 1: Determine the 20% tip of the food cost.
The food cost before tax is $105.79. To find the tip:
\[ \text{Tip} = \text{Food Cost} \times \text{Tip Rate} = 105.79 \times 0.20 \]
Calculating that:
\[ \text{Tip} = 105.79 \times 0.20 = 21.158 \]
Rounding to the nearest hundredth:
\[ \text{Tip} \approx 21.16 \]
Step 2: Determine the 9% sales tax of the food cost.
The sales tax is calculated as follows:
\[ \text{Sales Tax} = \text{Food Cost} \times \text{Sales Tax Rate} = 105.79 \times 0.09 \]
Calculating that:
\[ \text{Sales Tax} = 105.79 \times 0.09 = 9.4781 \]
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.
The total price is calculated as:
\[ \text{Total Price} = \text{Food Cost} + \text{Sales Tax} + \text{Tip} \]
Calculating that:
\[ \text{Total Price} = 105.79 + 9.48 + 21.16 \]
Calculating the total:
\[ \text{Total Price} = 136.43 \]
So the final answers are:
- Step 1: The tip is $21.16
- Step 2: The sales tax is $9.48
- Step 3: The total price of the meal including tip and tax is $136.43
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