Question

Layla goes out to lunch. The bill, before tax and tip, was $16.90. A sales tax of 6% was added on. Layla tipped 14% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.

Answer 1

To find out how much tip Layla left, we first need to calculate the amount of sales tax added to the bill and the total amount after tax.

1. **Calculate the sales tax:**
The sales tax is 6% of the original bill.

\[
\text{Sales Tax} = \text{Bill} \times \text{Tax Rate} = 16.90 \times 0.06 = 1.014
\]

2. **Add the sales tax to the original bill:**
Now, we add the sales tax to the original bill to find the total amount.

\[
\text{Total Amount} = \text{Bill} + \text{Sales Tax} = 16.90 + 1.014 = 17.914
\]

3. **Calculate the tip (14% on the total amount):**
Layla tips 14% of the total amount after tax.

\[
\text{Tip} = \text{Total Amount} \times \text{Tip Rate} = 17.914 \times 0.14 \approx 2.50696
\]

4. **Round the tip to the nearest cent:**
Rounding 2.50696 to the nearest cent gives 2.51.

Thus, the amount of tip that Layla left is **$2.51**.