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Chapter 6: Problem 38

After a \(30 \%\) reduction, you purchase a dictionary for \(\$ 30.80\). What was the dictionary's price before the reduction?

Short Answer

Expert verified
The original price of the dictionary was $44.00

Step by step solution

01

Express the Current Price

Express $30.80 as 70% of the original price, as the dictionary was bought after a 30% discount. This is represented in the equation \( 0.70 * P = 30.80 \), where \( P \) is the original price of the dictionary.
02

Solve for Original Price

To solve for \( P \), divide both sides of the equation by \( 0.70 \). Therefore, \( P = \frac{30.80}{0.70} \).
03

Calculate

Do the division to get the result. \( P = \frac{30.80}{0.70} = 44.00 \). Therefore, the original price of the dictionary was $44.00.

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