The mixed-spin ferromagnetic-ferrimagnetic ternary-alloy AB(p)C(1-p) with only half-integer spins was studied on the Bethe lattice with the odd numbered shells containing only A atoms (spin-1/2), while the even numbered shells either containing B (spin-3/2) or C (spin-5/2) atoms randomly with different concentrations(p). Thermal variations of the order-parameters were studied to obtain the phase diagrams on the (p,kT(c)/J(AB)) and (R = vertical bar J(AC)vertical bar/J(AB),kT(c)/J(AB)) planes for given values of R and p, respectively, for various values of coordination numbers z. A critical value of R, i.e. R-c congruent to 0.65, is found such that it is independent from z and at which the critical temperatures of the mixed-spin(1/2,3/2) and the mixed-spin (1/2,5/2) become equal. The obtained phase diagrams are qualitatively similar but they are seen at higher critical temperatures when z increases. The model presents only one compensation temperature for appropriate values of the system parameters. (C) 2012 Elsevier B.V. All rights reserved.