Three-dimensional (3-D) hyperbolic conservation equations for fully compressible, monodisperse, fluid-particle flows with added mass and fluid-phase pseudoturbulence are proposed. A particle-phase kinetic model is developed that accounts for collisional and frictional terms, as well as added mass and internal energy. Transport equations for 3-D velocity moments up to second order (or total kinetic energy) are closed using a Maxwellian distribution. The resulting two-fluid model is well posed for any fluid-particle material density ratio. The numerical methods associated with the hyperbolic system of equations are designed to fulfill the main features of a compressible two-phase flow solver: capturing of sharp particle fronts, preserving contact discontinuities, and ensuring stability in all flow regimes. This is done by employing a combination of an AUSM + up scheme for the particle phase, and a HLLC scheme for the fluid phase. Stability is obtained by keeping the discrete consistency between spatial fluxes and buoyancy-like terms implying derivatives. Test cases involving a high-speed fluid interacting with heavy/light particles are used to demonstrate that the qualitative behavior of the flow dynamics is captured correctly by the model.