The magnetic structures of Cu(W1-xMox)O4 compounds withwolframite-type structure at 1.5 K have been determined by neutronpowder diffraction for average composition ⟨x⟩ = 0.15, 0.25 and 0.35. For⟨x⟩ = 0.15the magnetic structure is antiferromagnetic with a magnetic unit cell doubled along thea-axis, k⃗ = (1/2, 0, 0),i.e. the same magnetic structure as for CuWO4. For ⟨x⟩ = 0.25 and 0.35two magnetic structures are observed: one is identical to that for ⟨x⟩ = 0.15,while the other is doubled with respect to thec-axis, k⃗ = (0, 0, 1/2),i.e. the same magnetic structure as for the high-pressure modificationCuMoO4 III. The coexistence of these two magnetic arrangements isinterpreted as reflecting a slightly inhomogeneous contribution of Mo andW in different crystallites together with a sharp transition between thestability ranges of the two types of magnetic structure with respect tox. Thespecific Mo:W distributions in the grains of the powdered samples were deduced froma profile analysis based on high-resolution synchrotron powder diffraction data.No additional, intermediate magnetic phase with k⃗ = (1/2, 1/2, 0)was found in Cu(W0.75Mo0.25)O4, in contrast to predictions in the frameworkof extended Hückel calculations based on the precise crystal structure.