At a sale, a table is being sold for 65% of the regular price. The sale price is $416. What is the regular price?
Answer (2)
Define the regular price as R .
Express the sale price as an equation: 0.65 × R = 416 .
Solve for R by dividing both sides by 0.65 : R = 0.65 416 .
The regular price is 640 .
Explanation
Understanding the problem Let's analyze the problem. We know that the sale price of the table is $416, and this price represents 65% of the regular price. Our goal is to find the regular price.
Setting up the equation Let R be the regular price of the table. We can set up the equation: 0.65 × R = 416
Solving for R To solve for R, we need to divide both sides of the equation by 0.65: R = 0.65 416 Performing the division, we find that: R = 640
Final Answer Therefore, the regular price of the table is $640.
Examples
Understanding percentages and discounts is very useful in everyday life. For example, when shopping, you can calculate the original price of an item if you know the sale price and the discount percentage. This helps you to compare prices and make informed decisions about your purchases. Knowing how to calculate percentages can also help you determine the actual savings you are getting from a sale.
The regular price of the table is $640, which can be determined by setting up the equation 0.65 × R = 416 and solving for R . After calculation, R equals $640. Thus, $640 is the original price before the discount.
;
