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Chapter 10: Problem 5

During a sale, a store decreases the prices on all of its scarves by 25 to 50 percent. If all of the scarves in the store were originally priced at \(\$ 20,\) which of the following prices could be the sale price of a scarf? Indicate all such prices. a. \(\$ 8\) b. \(\$ 10\) c. \(\$ 12\) d. \(\$ 14\) e. \(\$ 16\)

Short Answer

Expert verified
The possible sale prices of a scarf could be $10, $12, or $14.

Step by step solution

01

Calculate minimum possible price

The minimum possible price of a scarf can be calculated by reducing the original price by 50%. In calculation terms, it would be \(20 - (50/100 * 20) = 10\). So the lowest possible price of a scarf is $10.
02

Calculate maximum possible price

The maximum possible price of a scarf can be calculated by reducing the original price by 25%. In calculation terms, it would be \(20 - (25/100 * 20) = 15\). So the highest possible price of a scarf is $15.
03

Compare the Options with the Calculated Range

Now compare the given price options with the calculated range. Only options falling within this range would be possible sale prices of a scarf. Upon comparison, we find that the options \(10\), \(12\), \(14\) fall within this range.

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