Question
The cost for Paul's lunch was 14.56. Paul left a tip of 15% of the cost of the lunch. he also paid sales tax of 7& of the cost of the lunch. What was Paul's total cost for the lunch, including tip and tax, round your answer to the nearest hundreth
Answers
GPT-4o mini
To calculate Paul's total cost for the lunch, including the tip and sales tax, we can follow these steps:
1. **Calculate the tip**:
- Cost of lunch: \( 14.56 \)
- Tip percentage: \( 15\% \)
\[
\text{Tip} = 14.56 \times 0.15 = 2.184
\]
2. **Calculate the sales tax**:
- Sales tax percentage: \( 7\% \)
\[
\text{Sales Tax} = 14.56 \times 0.07 = 1.0192
\]
3. **Calculate the total cost**:
\[
\text{Total Cost} = \text{Cost of lunch} + \text{Tip} + \text{Sales Tax}
\]
Putting in the values we have:
\[
\text{Total Cost} = 14.56 + 2.184 + 1.0192
\]
\[
\text{Total Cost} = 17.7632
\]
4. **Round to the nearest hundredth**:
- Rounding \( 17.7632 \) gives us \( 17.76 \).
Therefore, Paul's total cost for the lunch, including tip and tax, is **$17.76**.
1. **Calculate the tip**:
- Cost of lunch: \( 14.56 \)
- Tip percentage: \( 15\% \)
\[
\text{Tip} = 14.56 \times 0.15 = 2.184
\]
2. **Calculate the sales tax**:
- Sales tax percentage: \( 7\% \)
\[
\text{Sales Tax} = 14.56 \times 0.07 = 1.0192
\]
3. **Calculate the total cost**:
\[
\text{Total Cost} = \text{Cost of lunch} + \text{Tip} + \text{Sales Tax}
\]
Putting in the values we have:
\[
\text{Total Cost} = 14.56 + 2.184 + 1.0192
\]
\[
\text{Total Cost} = 17.7632
\]
4. **Round to the nearest hundredth**:
- Rounding \( 17.7632 \) gives us \( 17.76 \).
Therefore, Paul's total cost for the lunch, including tip and tax, is **$17.76**.