Calculating the Price Before the Tip

Oct 13, 2025 by talynt.org 93 views

Talia's Hairdresser Tip: A Math Problem

Understanding the Problem

Talia gave her hairdresser a 20 percent tip, which amounted to $7. We need to find the price of the service before the tip. This is a classic problem of percentage calculation, and we will use the concept of percentages to solve it.

Calculating the Price Before the Tip

To find the price of the service before the tip, we need to use the formula:

Price before tip = (Tip amount / Percentage of tip) x 100

In this case, the tip amount is $7, and the percentage of tip is 20%. We can plug in these values into the formula:

Price before tip = ($7 / 0.20) x 100

Simplifying the Equation

To simplify the equation, we can divide $7 by 0.20:

$7 ÷ 0.20 = $35

Now, we can multiply $35 by 100 to get the price before the tip:

$35 x 100 = $3500

However, this is not the correct answer. We need to revisit the equation and simplify it further.

Revisiting the Equation

Let's revisit the equation:

Price before tip = ($7 / 0.20) x 100

We can simplify the equation by dividing $7 by 0.20:

$7 ÷ 0.20 = $35

However, this is not the correct answer. We need to multiply $35 by 100 to get the correct answer:

$35 x 100 = $3500

But we are not looking for the price in dollars, we are looking for the price in dollars before the tip. So we need to divide $3500 by 100 to get the correct answer:

$3500 ÷ 100 = $35

Conclusion

The correct answer is $35.00. This is the price of the service before the tip.

Answer Key

The correct answer is B. $35.00.

Explanation

This problem requires the use of percentage calculation to find the price of the service before the tip. We used the formula:

Price before tip = (Tip amount / Percentage of tip) x 100

We simplified the equation by dividing $7 by 0.20 and then multiplying by 100 to get the correct answer.

Tips and Tricks

When working with percentages, make sure to convert the percentage to a decimal by dividing by 100.
When using the formula, make sure to multiply the result by 100 to get the correct answer.
Practice, practice, practice! The more you practice, the better you will become at solving percentage problems.

Related Problems

If a restaurant charges a 15% tip, and the total bill is $25, how much is the tip?
If a salesperson gives a 10% discount, and the original price is $50, how much is the discount?
If a bank charges a 5% interest rate, and the principal amount is $100, how much is the interest?

Conclusion

In conclusion, this problem requires the use of percentage calculation to find the price of the service before the tip. We used the formula:

Price before tip = (Tip amount / Percentage of tip) x 100

We simplified the equation by dividing $7 by 0.20 and then multiplying by 100 to get the correct answer.

Final Answer

The final answer is $35.00.
Talia's Hairdresser Tip: A Math Problem Q&A

Understanding the Problem

Q&A

Q: What is the formula to find the price before the tip?

A: The formula to find the price before the tip is:

Price before tip = (Tip amount / Percentage of tip) x 100

Q: How do I simplify the equation?

A: To simplify the equation, you can divide the tip amount by the percentage of tip, and then multiply by 100.

Q: What if the percentage of tip is a decimal?

A: If the percentage of tip is a decimal, you can simply divide the tip amount by the decimal and then multiply by 100.

Q: Can I use a calculator to solve the problem?

A: Yes, you can use a calculator to solve the problem. However, make sure to enter the correct values and follow the correct order of operations.

Q: What if I get a different answer?

A: If you get a different answer, double-check your work and make sure you are using the correct formula and values.

Q: Can I use this formula to find the tip amount?

A: Yes, you can use this formula to find the tip amount. Simply rearrange the formula to solve for the tip amount:

Tip amount = (Price before tip x Percentage of tip) / 100

Q: What if I want to find the price before the tip with a different percentage of tip?

A: If you want to find the price before the tip with a different percentage of tip, simply substitute the new percentage of tip into the formula and solve for the price before the tip.

Q: Can I use this formula to find the price before the tip with a different tip amount?

A: Yes, you can use this formula to find the price before the tip with a different tip amount. Simply substitute the new tip amount into the formula and solve for the price before the tip.

Common Mistakes

Forgetting to convert the percentage to a decimal
Forgetting to multiply by 100
Using the wrong formula
Entering the wrong values into the calculator

Tips and Tricks

Make sure to read the problem carefully and understand what is being asked
Use a calculator to check your work
Double-check your answers to make sure they are correct
Practice, practice, practice! The more you practice, the better you will become at solving percentage problems.

Related Problems

If a restaurant charges a 15% tip, and the total bill is $25, how much is the tip?
If a salesperson gives a 10% discount, and the original price is $50, how much is the discount?
If a bank charges a 5% interest rate, and the principal amount is $100, how much is the interest?

Conclusion

In conclusion, this problem requires the use of percentage calculation to find the price of the service before the tip. We used the formula:

Price before tip = (Tip amount / Percentage of tip) x 100

We simplified the equation by dividing $7 by 0.20 and then multiplying by 100 to get the correct answer.

Final Answer

The final answer is $35.00.

Additional Resources

For more information on percentage calculation, check out our article on "Understanding Percentages".
For more practice problems, check out our article on "Percentage Practice Problems".
For more tips and tricks, check out our article on "Tips and Tricks for Solving Percentage Problems".