  A system of equations for anisotropic hydrodynamics is derived that describes
a mixture of anisotropic quark and gluon fluids. The consistent treatment of
the zeroth, first and second moments of the kinetic equations allows us to
construct a new framework with more general forms of the anisotropic
phase-space distribution functions than those used before. In this way, the
main difficiencies of the previous formulations of anisotropic hydrodynamics
for mixtures have been overcome and the good agreement with the exact
kinetic-theory results is obtained.
