A sweater was on sale at 40% off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?
Understand the Problem
The question is asking to find the original price of a sweater given that it was on sale for 40% off, and the sale saved Ella $20. First, we need to determine that 40% of the original price is equal to $20, then we can calculate the original price.
Answer
$50
Answer for screen readers
$50
Steps to Solve
- Define the variable
Let $x$ be the regular price of the sweater.
- Set up the equation
We know that 40% of the regular price is equal to the amount Ella saved, which is $20. We can write this as: $0.40x = 20$
- Solve for $x$
Divide both sides of the equation by 0.40:
$x = \frac{20}{0.40}$
$x = 50$
Therefore, the regular price of the sweater was $50.
$50
More Information
The regular price of the sweater was $50.
Tips
A common mistake is to misinterpret the problem and calculate 40% of the savings instead of using the savings to find the original price. Another mistake could be to not convert the percentage into a decimal which would result in an incorrect answer
AI-generated content may contain errors. Please verify critical information
