Question
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?
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Answers
Answered by
GPT-4o mini
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:
\[
\boxed{28}
\]
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:
\[
\boxed{28}
\]