Disclosed in this specification is a medicine container with a flexible flap covering the opening of the container. The opening is closed by the flexible flap when the flexible flap is in a resting position and the opening is opened when the flexible flap is in a flexed position. A hand-operated plunger is equipped with an end configured to mate with the opening such that a seal is established between the plunger and the opening. The plunger is shaped to apply a force to the flexible flap, thereby operating the flexible flap.