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.