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Chapter 6: Problem 37

After a \(20 \%\) reduction, you purchase a television for \(\$ 336\). What was the television's price before the reduction?

Short Answer

Expert verified
The television's original price before the 20% reduction was $420.

Step by step solution

01

- Understand the Problem

After a 20% reduction, the price of the television is $336. We need to find out what the original price was before the reduction. The current price represents 80% of the original price.
02

- Set up the Equation

Let's denote the original price as \(X\). Because the current price of the television is 80% of the original price, we can write the equation as: 0.80 * \(X\) = $336.
03

- Solve the Equation

To solve the equation 0.80 * \(X\) = $336 for \(X\), divide both sides of the equation by 0.80. This gives: \(X\) = $336 / 0.80.
04

- Calculate the Original Price

Dividing $336 by 0.80 gives $420. Therefore, the television's initial price before the reduction was $420.

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