The system comprises an appliance (10) for personal body care, a pump (20) and a holder (40). The appliance (10) comprises a treatment device (11, 14, 31) for carrying out a body-care treatment under the influence of a fluid. The fluid is held in the holder (40) and can be pumped to an outlet opening 30 (32) by means of the pump (20). The system is characterized in that the holder (40) comprises a flexible wall (41), and in that the pump (20) is detachable from the holder (40) and is detachable from the appliance (10). This combination of measures makes 42 it possible to adapt the dimensions of the holder (40) to an 4 ergonomic shape of the appliance (10).