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.

1 answer

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 \(\boxed{2.42}\).