Math Problem Statement

The selling price of a shirtis $26.50. This includes a tax of 6%. Calculate the price ofthe shirt before the tax was added

Solution

To find the price of the shirt before the tax was added, you can follow these steps:

  1. Let the price of the shirt before tax be xx.
  2. The tax is 6% of the original price, so the tax amount is 0.06x0.06x.
  3. The total selling price after adding the tax is x+0.06x=1.06xx + 0.06x = 1.06x.
  4. We know the selling price is $26.50, so 1.06x=26.501.06x = 26.50.

Now, solve for xx:

x=26.501.06x = \frac{26.50}{1.06} x25.00x \approx 25.00

So, the price of the shirt before tax was approximately $25.00.

Would you like more details, or do you have any questions?

Here are 5 related questions:

  1. How would the original price change if the tax rate were 8% instead of 6%?
  2. What would be the tax amount if the original price was $25.00 with a 6% tax rate?
  3. How do you calculate the final price if the tax is added after a discount?
  4. How can you find the tax rate if you know the original and final prices?
  5. What would be the final price if the shirt's original price was $25.00, but a 10% discount was applied before adding a 6% tax?

Tip: When dealing with percentages, always remember to convert them into their decimal form (e.g., 6% becomes 0.06) before performing calculations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Percentage
Linear Equations

Formulas

Total Price = Original Price * (1 + Tax Rate)
Original Price = Total Price / (1 + Tax Rate)

Theorems

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Suitable Grade Level

Grades 6-8