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Chapter 2: Problem 45

After a \(30 \%\) price reduction, you purchase a television for \(\$ 980 .\) What was the television's price before the reduction?

Short Answer

Expert verified
The original price of the television was approximately \$1,400.

Step by step solution

01

Understanding the Percentage Reduction

Think about what a \(30\%\) price reduction means. This means that the final price is \(70\%\) of the original price. So, instead of trying to find \(30\%\) of something, we're actually trying to find the number that equates to \(70\%\) given the final price.
02

Dividing Current Price by 0.7

To find the original price, you take the price after the reduction and divide it by \(0.7\) (which is the decimal equivalent of \(70\%\)). So, the calculation will be \(\$980/0.7\).
03

Calculating the Original Price

When you divide \(\$980\) by \(0.7\), you obtain the original price which is approximately \$1,400. Hence, before the reduction, the television cost \(\$1,400\).

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