Question

Brody goes out to lunch. The bill, before tax and tip, was $14.55. A sales tax of 6% was added on. Brody tipped 25% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip? Round to the nearest cent.

Answer 1

First, we need to calculate the sales tax on the meal.

1. The original bill is \(14.55\).
2. The sales tax rate is \(6\%\), which can be calculated as:
\[
\text{Sales Tax} = 14.55 \times 0.06 = 0.873
\]

3. Adding the sales tax to the original bill gives us the total amount before the tip:
\[
\text{Total after Tax} = 14.55 + 0.873 = 15.423
\]

4. Now we need to round this to the nearest cent (which is standard in currency calculations):
\[
\text{Total after Tax (rounded)} = 15.42
\]

Next, we calculate the tip based on the total after tax.

5. The tip rate is \(25\%\):
\[
\text{Tip} = 15.423 \times 0.25 = 3.85575
\]

6. Rounding the tip to the nearest cent:
\[
\text{Tip (rounded)} = 3.86
\]

Now, we add the rounded total after tax and the rounded tip to find the final total cost of the meal.

7. Finally, the total cost including tax and tip is:
\[
\text{Total Cost} = 15.42 + 3.86 = 19.28
\]

Therefore, the total cost of the meal, including tax and tip, is **$19.28**.