A recreation center is offering special prices on its pool passes and gym memberships for the summer. On the first day of the offering, a family paid $96 for 4 pool passes and 2 gym memberships. Later that day, an individual bought a pool pass for herself, a pool pass for a friend, and 1 gym membership. She paid $72. Write a system of equations that represents the relationships between pool passes, gym memberships, and the costs.

Let `x` represent the cost of pool passes and let `y` represent the cost of gym memberships.