The structure of binary hard-sphere mixtures near a hard wall is studied using a density functional theory. The formalism is based on a simple weighted density approach for the one-particle correlation functions of the nonuniform system, and requires as input only the one- and two-particle direct correlation functions of the corresponding uniform system. The approach is designed in a way, where the weight function is decoupled from the weighted density. Numerical results on the density profiles are shown to compare well with available simulation data.