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.