Question

Solve. The bill in a restaurant comes to a total of $32.85. The patrons decide to tip the server 15%. What tip amount should be left, and how much do they pay including the tip?

Short answer

Answer: The patrons should leave a $4.93 tip, and the total amount they'll pay including the tip is $37.78.

Step-by-step solution

Calculate the tip amount

To calculate the tip amount, we will multiply the bill amount by the tip percentage (15%). Tip = Bill amount * Tip percentage Tip = $32.85 * 0.15

Solve for the tip amount

Now we can compute the tip amount: Tip = \(32.85 * 0.15 = \)4.9275 Since we are dealing with currency, we should round our answer to two decimal places. Tip = $4.93

Calculate the total amount paid including the tip

To find the total amount paid including the tip, we will sum the bill amount and the tip amount. Total Amount = Bill amount + Tip amount Total Amount = \(32.85 + \)4.93

Solve for the total amount paid including the tip

Now we can compute the total amount paid including the tip: Total Amount = \(32.85 + \)4.93 = $37.78 The patrons should leave a tip of \(4.93, and the total amount they'll pay including the tip is \)37.78.

Key concepts

Rounding Decimals

Rounding is essential when dealing with decimals, especially in currency calculations. Whenever you calculate a number that's meant to represent money, you'll often need to round it to two decimal places. This ensures the amount aligns with the smallest unit of currency, typically the cent. To round a number like 4.9275 to two decimals, observe the third decimal. If it's 5 or more, you round up the second decimal by one. If it's less than 5, keep the second decimal as it is. So, 4.9275 becomes 4.93.
This approach keeps monetary transactions straightforward and avoids confusion. Practicing rounding in various contexts helps reinforce this skill.

Currency Calculations

When calculating currency, precision matters. Begin by determining the base amount, like a restaurant bill. Then, include any additional charges, such as tips and taxes. To compute these accurately, use percentages. For instance, multiplying the total bill by 0.15 gives the amount to be left as a tip when the tip percentage is 15%.
In our case, the calculation yielded a raw tip value of 4.9275. Since currency uses only two decimal places, we need to round this to 4.93. Calculating transactions to the nearest cent ensures clarity and consistency in financial dealings.
Here’s a few pointers to ensure precision in currency calculations:

• Always keep track of decimals until the final rounding step.
• Consider each component of the total separately before summing them up.
• Double-check each calculation step to prevent errors.

Basic Arithmetic Operations

The fundamentals of arithmetic are vital for solving everyday problems like calculating bills. Often, you'll need to perform multiple operations, such as addition, multiplication, or subtraction, to find the solution.
First, use multiplication to determine the percentage amount, like a tip. Then, use addition to combine this with the original bill for the full amount owed. Basic arithmetic operations are a building block of mathematics, enabling us to solve real-world problems confidently and correctly.
To become proficient:

• Practice these operations in various contexts to understand their applications.
• Break complex problems into smaller, manageable calculations.
• Review each step thoroughly to ensure accuracy.