You Have A Restaurant Bill Of $\$73.25$. If You Are Taxed $7 \frac{1}{2}\%$ And Decide To Tip Your Server $15\%$, How Much Is Your Total?Choose The Best Answer From The Choices Provided:A. $\$74.90$ B.

When dining out, it's essential to consider the total cost of a meal, including taxes and tips. In this scenario, we have a restaurant bill of $\$73.25$. To calculate the total cost, we need to consider the tax rate and the tip percentage.

Understanding the Tax Rate

The tax rate is given as $7 \frac{1}{2}\%$. To convert this to a decimal, we can divide the numerator by the denominator and then divide by 100.

$$7 \frac{1}{2}\% = \frac{7.5}{100} = 0.075$$

Calculating the Tax Amount

To calculate the tax amount, we can multiply the bill by the tax rate.

$$\text{Tax Amount} = \text{Bill} \times \text{Tax Rate}$$

$$\text{Tax Amount} = \$73.25 \times 0.075$$

$$\text{Tax Amount} = \$5.49$$

Understanding the Tip Percentage

The tip percentage is given as $15\%$. To convert this to a decimal, we can divide the numerator by the denominator and then divide by 100.

$$15\% = \frac{15}{100} = 0.15$$

Calculating the Tip Amount

To calculate the tip amount, we can multiply the bill by the tip percentage.

$$\text{Tip Amount} = \text{Bill} \times \text{Tip Percentage}$$

$$\text{Tip Amount} = \$73.25 \times 0.15$$

$$\text{Tip Amount} = \$10.99$$

Calculating the Total Cost

To calculate the total cost, we need to add the tax amount, tip amount, and the original bill.

$$\text{Total Cost} = \text{Bill} + \text{Tax Amount} + \text{Tip Amount}$$

$$\text{Total Cost} = \$73.25 + \$5.49 + \$10.99$$

$$\text{Total Cost} = \$89.73$$

Therefore, the total cost of the restaurant bill, including taxes and tips, is $\$89.73$.

Conclusion

Calculating the total cost of a restaurant bill requires considering the tax rate and tip percentage. By multiplying the bill by the tax rate and tip percentage, we can determine the tax amount and tip amount, respectively. Finally, adding these amounts to the original bill gives us the total cost. In this scenario, the total cost is $\$89.73$.

Answer

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In this article, we will address some common questions related to calculating the total cost of a restaurant bill, including taxes and tips.

Q: What is the formula for calculating the tax amount?

A: The formula for calculating the tax amount is:

$$\text{Tax Amount} = \text{Bill} \times \text{Tax Rate}$$

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you can divide the numerator by the denominator and then divide by 100. For example, to convert $7 \frac{1}{2}\%$ to a decimal, you can divide 7.5 by 100.

$$7 \frac{1}{2}\% = \frac{7.5}{100} = 0.075$$

Q: What is the formula for calculating the tip amount?

A: The formula for calculating the tip amount is:

$$\text{Tip Amount} = \text{Bill} \times \text{Tip Percentage}$$

Q: How do I calculate the total cost of a restaurant bill?

A: To calculate the total cost of a restaurant bill, you need to add the tax amount, tip amount, and the original bill.

$$\text{Total Cost} = \text{Bill} + \text{Tax Amount} + \text{Tip Amount}$$

Q: What if I want to calculate the total cost of a restaurant bill with a different tax rate and tip percentage?

A: To calculate the total cost of a restaurant bill with a different tax rate and tip percentage, you can simply substitute the new values into the formulas.

For example, if the tax rate is $8\%$ and the tip percentage is $20\%$, you can calculate the tax amount and tip amount as follows:

$$\text{Tax Amount} = \$73.25 \times 0.08$$

$$\text{Tax Amount} = \$5.86$$

$$\text{Tip Amount} = \$73.25 \times 0.20$$

$$\text{Tip Amount} = \$14.65$$

Then, you can calculate the total cost by adding the tax amount, tip amount, and the original bill.

$$\text{Total Cost} = \$73.25 + \$5.86 + \$14.65$$

$$\text{Total Cost} = \$93.76$$

Q: Can I use a calculator to calculate the total cost of a restaurant bill?

A: Yes, you can use a calculator to calculate the total cost of a restaurant bill. Simply enter the values into the calculator and perform the calculations.

Q: What if I want to calculate the total cost of a restaurant bill with multiple items?

A: To calculate the total cost of a restaurant bill with multiple items, you can simply add the tax amount, tip amount, and the original bill for each item.

For example, if you have two items on your bill, one with a price of $\$20.00$ and the other with a price of $\$30.00$, you can calculate the tax amount and tip amount for each item separately.

$$\text{Tax Amount 1} = \$20.00 \times 0.08$$

$$\text{Tax Amount 1} = \$1.60$$

$$\text{Tip Amount 1} = \$20.00 \times 0.20$$

$$\text{Tip Amount 1} = \$4.00$$

$$\text{Tax Amount 2} = \$30.00 \times 0.08$$

$$\text{Tax Amount 2} = \$2.40$$

$$\text{Tip Amount 2} = \$30.00 \times 0.20$$

$$\text{Tip Amount 2} = \$6.00$$

Then, you can calculate the total cost by adding the tax amount, tip amount, and the original bill for each item.

$$\text{Total Cost 1} = \$20.00 + \$1.60 + \$4.00$$

$$\text{Total Cost 1} = \$25.60$$

$$\text{Total Cost 2} = \$30.00 + \$2.40 + \$6.00$$

$$\text{Total Cost 2} = \$38.40$$

Finally, you can calculate the total cost by adding the total cost of each item.

$$\text{Total Cost} = \$25.60 + \$38.40$$

$$\text{Total Cost} = \$64.00$$

Conclusion

Calculating the total cost of a restaurant bill requires considering the tax rate and tip percentage. By multiplying the bill by the tax rate and tip percentage, we can determine the tax amount and tip amount, respectively. Finally, adding these amounts to the original bill gives us the total cost. In this article, we have addressed some common questions related to calculating the total cost of a restaurant bill, including taxes and tips.