Question

Ben went bowling with his friends. The bowling alley charges $22 for an hour of group bowling plus a fee to rent each pair of shoes. Ben's group bowled for one hour, rented 5 pairs of shoes, and paid a total of $37. What is the fee to rent each pair of shoes?

Answer 1

Let the fee to rent each pair of shoes be denoted as \( x \).

Ben's group spent a total of $37, which includes the fee for bowling and the rental fees for the shoes. The bowling alley charges $22 for an hour of group bowling. Since Ben's group rented 5 pairs of shoes, the total rental cost for the shoes would be \( 5x \).

We can set up the equation based on the total amount paid:

\[
22 + 5x = 37
\]

Next, we need to isolate \( x \). First, we can subtract 22 from both sides of the equation:

\[
5x = 37 - 22
\]

This simplifies to:

\[
5x = 15
\]

Now, divide both sides by 5 to solve for \( x \):

\[
x = \frac{15}{5} = 3
\]

Thus, the fee to rent each pair of shoes is

\[
\boxed{3}
\]