Iggy's Ice Shelf is having a sale on snow gear. Jeffrey buys 5 wool hats, one for each member of his family. During the sale, wool hats are selling for $4 less than full price. Jeffrey pays a total of $120 for the hats. How much does each wool hat cost at full price?

Question

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Answer 1

Let the full price of each wool hat be represented by \( p \).

Since the wool hats are selling for $4 less than the full price, the sale price of each hat is given by: \[ p - 4 \]

Jeffrey buys 5 hats at the sale price, so he pays: \[ 5(p - 4) \]

According to the problem, this total cost equals $120: \[ 5(p - 4) = 120 \]

To solve for \( p \), we start by distributing the 5: \[ 5p - 20 = 120 \]

Next, we add 20 to both sides to isolate the term with \( p \): \[ 5p = 140 \]

Now, we divide both sides by 5 to solve for \( p \): \[ p = 28 \]

Therefore, the full price of each wool hat is: \[ \boxed{28} \]