The packet dispenser (20) includes a container structure (22) having an interior cavity (32). The cavity has a sufficient dimension such that a packet structure (48) may be stored therein. The container structure (22) has an opening (34) to the cavity (32) through which the packet structure (48) can be removed therefrom. A tear structure (40) is connected to the container structure (22) such that the packet structure (48) may contact the tear structure (40) to tear a portion thereof when the packet structure (48) is removed from the cavity (32).