Simone was pleased with her service at a local restaurant where she had entertained some friends for dinner. She left a tip of $44 for a bill of $195.55. What tip rate did she leave for the service?
The Correct Answer and Explanation is:
To calculate the tip rate that Simone left for the service, we need to determine what percentage of the total bill the tip represents. The formula for calculating the tip rate is:
[
\text{Tip Rate} = \left( \frac{\text{Tip Amount}}{\text{Total Bill}} \right) \times 100
]
Step-by-Step Calculation:
- Tip Amount: The amount Simone left as a tip was $44.
- Total Bill: The total amount of the bill before the tip was $195.55.
Substitute these values into the formula:
[
\text{Tip Rate} = \left( \frac{44}{195.55} \right) \times 100
]
Now, divide 44 by 195.55:
[
\frac{44}{195.55} = 0.225
]
Multiply by 100 to convert the decimal to a percentage:
[
0.225 \times 100 = 22.5\%
]
Final Answer:
Simone left a 22.5% tip for the service.
Explanation:
In this scenario, Simone was pleased with the service and decided to leave a tip of $44 for her $195.55 bill. To determine how generous her tip was, we calculated the percentage of the bill that $44 represents. This is a common way to assess tip amounts, particularly in restaurants where tipping is customary.
The process involved dividing the tip amount by the total bill and then multiplying by 100 to convert the result into a percentage. This method gives us the tip rate, which is often used to gauge the quality of service. A 20-25% tip is considered generous, so Simone’s 22.5% tip indicates that she was happy with the service she received at the restaurant.
This type of calculation is useful in various real-life contexts, such as dining out, hotel stays, or any service industry situation where tips are given based on a percentage of the total cost.