Question
Savannah goes out to lunch. The bill, before tax and tip, was $19.05. A sales tax of 6% was added on. Savannah tipped 12% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answers
GPT-4o mini
To calculate the total amount for Savannah's lunch and the tip, we follow these steps:
1. **Calculate the sales tax**:
- Sales tax rate: 6%
- Bill before tax: $19.05
- Sales tax = \( 19.05 \times 0.06 \)
\[
\text{Sales tax} = 19.05 \times 0.06 = 1.143
\]
2. **Calculate the total amount after tax**:
- Total amount after tax = Bill + Sales tax
\[
\text{Total after tax} = 19.05 + 1.143 = 20.193
\]
3. **Calculate the tip**:
- Tip rate: 12%
- Tip = \( 20.193 \times 0.12 \)
\[
\text{Tip} = 20.193 \times 0.12 = 2.42316
\]
4. **Round the tip to the nearest cent**:
- Rounding \( 2.42316 \) gives \( 2.42 \) when rounded to two decimal places.
Thus, the tip that Savannah left is \(\boxed{2.42}\).
1. **Calculate the sales tax**:
- Sales tax rate: 6%
- Bill before tax: $19.05
- Sales tax = \( 19.05 \times 0.06 \)
\[
\text{Sales tax} = 19.05 \times 0.06 = 1.143
\]
2. **Calculate the total amount after tax**:
- Total amount after tax = Bill + Sales tax
\[
\text{Total after tax} = 19.05 + 1.143 = 20.193
\]
3. **Calculate the tip**:
- Tip rate: 12%
- Tip = \( 20.193 \times 0.12 \)
\[
\text{Tip} = 20.193 \times 0.12 = 2.42316
\]
4. **Round the tip to the nearest cent**:
- Rounding \( 2.42316 \) gives \( 2.42 \) when rounded to two decimal places.
Thus, the tip that Savannah left is \(\boxed{2.42}\).