A sofa is on sale for $149.60, which is 66% less than the regular price.
What is the regular price?

To find the regular price of the sofa, we need to determine what price corresponds to 100% of the original value before the 66% discount was applied.

Let $ x $ be the regular price.

The sale price is 66% less than the regular price, meaning the sale price represents 34% of the regular price.

So, we have the equation:
\[
0.34x = 149.60
\]

Now, solve for $ x $:
\[
x = \frac{149.60}{0.34}
\]

Calculating the value:

\[
x = 440
\]

Thus, the regular price of the sofa is **$440.00**.

Would you like a detailed breakdown of this calculation or any further explanation?

Here are 5 questions related to this topic:
1. How do you calculate a percentage increase based on a discounted price?
2. If a different item had a 40% discount, how would you find its original price?
3. What is the formula for calculating percentages in general?
4. How can you calculate the percentage saved from a sale?
5. How would a tax of 8% on the regular price affect the total cost?

**Tip:** To reverse a percentage decrease, divide the discounted price by $ 1 - $ the percentage decrease (expressed as a decimal).

A sofa is on sale for $149.60, which is 66% less than the regular price. What is the regular price?

Learn how to calculate the regular price of a sofa given a 66% discount, with the sale price being $149.60. This problem uses algebraic methods and percentage calculations, suitable for students in Grades 6-8.

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