The invention relates to a system (10) for dispensing a product, comprising a dispenser that can house at least two cartridges, each of which includes a reservoir containing a base product, a first base product comprising at least 0.1 wt.-% particles having a density differential relative to the medium containing same, preferably of at least 0.5 g/cm3, in particular particles having a density greater than or equal to 2 g/cm3, and a thickening agent. The dispenser allows at least two base products to be dispensed in adjustable proportions, the viscosity of the first base product being preferably greater than 2 Pa·s and more preferably greater than or equal to 4 Pa·s.