Question

At a sale this week, a sofa is being sold for $147.20 This is a 68% discount from the original price.What is the original price?

Answer 1

To find the original price of the sofa, we can use the fact that the sale price is 68% off the original price.

Let's assume the original price of the sofa is represented by "x."

The sale price is given as $147.20, which is 68% of the original price. Mathematically, this can be expressed as:

Sale Price = Original Price - Discount Amount

$147.20 = x - 0.68x

To simplify the equation, we can combine like terms:

$147.20 = 0.32x

Now, we can isolate the variable "x" by dividing both sides of the equation by 0.32:

$147.20 / 0.32 = x

The calculation yields:

$460 = x

Therefore, the original price of the sofa was $460.

Answer 2

Answer: The original price is $460.

Step-by-step explanation: Since the sofa is sold at a 68% discount (0.68) from the original price, the sofa during the sale cost 32% (0.32) of the original price. Therefore, $147.20 = (0.32)* original price and dividing both sides by 0.32, the original price is $460.