Abstract: A system for dispensing a substance comprises a compressible container for a stock of substance that is to be dispensed, which container has an outlet member for dispensing substance from the container, and a dispensing device for the metered dispensing of substance from the container. The device has a housing with a chamber for accommodating a compressible container, which chamber has a substantially vertically extending peripheral wall and an opening at the top side for placing the container in the chamber from above. Furthermore, the device has a counter-supporting member for the top side of the container, which counter-supporting member can be placed over the opening at the top side of the chamber after the container has been placed in the chamber. A displaceable pressure-exerting member, which extends as a base that can be moved up and down in the chamber and is designed to act on the container which has been placed in the chamber, is used to empty the container by the application of pressure.