Final answer:
To find the original price when the sale price is given, calculate the discount percentage. Set up an equation and solve for the discount percentage, then plug the value into the equation to calculate the original price.
Step-by-step explanation:
To find the original price of an item when the sale price is given, you need to calculate the discount percentage. In this case, the sale price is $456. Let's say the discount percentage is x%. That means, Linda pays 100% - x% of the original price, which is equal to $456. To find x%, you can set up an equation: (100% - x%) * original price = $456.
Simplifying the equation, you get 100% - x% = $456 / original price. To solve for x%, you can divide both sides by original price and then subtract 100% from both sides of the equation. Finally, you can plug in the value you find for x% into the equation to calculate the original price.
For example, if the discount percentage is 20%, we can substitute x = 20 into the equation: (100% - 20%) * original price = $456. Simplifying this equation, we get 80% * original price = $456. Dividing both sides by 80%, we find that the original price is $570.