We present a semiclassical three-fluid model for a Bose-condensed mixture o
f interacting Bose and Fermi gases confined in harmonic traps at finite tem
perature. The model is used to characterize the experimentally relevant beh
aviour of the equilibrium density profile of the fermions with varying comp
osition and temperature across the onset of degeneracy, for coupling streng
ths relevant to a mixture of K-39 and K-40 atoms.