Let's break down the calculations step by step.
Step 1: Determine the 20% tip of the food costs.
To calculate the tip based on the pre-tax amount of $105.79, use the following formula:
\[
\text{Tip} = \text{Cost} \times \left( \frac{\text{Tip Rate}}{100} \right)
\]
Plugging in the values:
\[
\text{Tip} = 105.79 \times \left( \frac{20}{100} \right) = 105.79 \times 0.20 = 21.158
\]
Rounding this to the nearest hundredth gives you:
\[
\text{Tip} \approx $21.16
\]
Step 2: Determine the 9% sales tax of the food costs.
To calculate the sales tax based on the food costs, use the following formula:
\[
\text{Sales Tax} = \text{Cost} \times \left( \frac{\text{Tax Rate}}{100} \right)
\]
Plugging in the values:
\[
\text{Sales Tax} = 105.79 \times \left( \frac{9}{100} \right) = 105.79 \times 0.09 \approx 9.5181
\]
Rounding this to the nearest hundredth gives you:
\[
\text{Sales Tax} \approx $9.52
\]
Step 3: Determine the total price of the meal including the tip and tax.
To calculate the total price, add the cost of the meal, the sales tax, and the tip:
\[
\text{Total Price} = \text{Cost} + \text{Sales Tax} + \text{Tip}
\]
\[
\text{Total Price} = 105.79 + 9.52 + 21.16 = 136.47
\]
So, the total price of the meal including the tip and tax is:
\[
\text{Total Price} \approx $136.47
\]
Summary of Answers:
- Step 1: $21.16
- Step 2: $9.52
- Step 3: $136.47