A cosmetic system for dispensing customized cosmetic compositions includes a dispenser configured to dispense customized amounts of at least two cosmetic components from different cartridges through apertures in a plate. A recess is formed in the plate and receives the at least two cosmetic components from the apertures. The system includes a lid detachably mountable to the plate and a flexible tool. The flexible tool is configured to be disposed between the lid and the plate when the lid is mounted to the plate. The lid compresses the tool against the plate to sealingly engage the apertures.