A clamping system for support hardware has at least two spaced apart and opposing hooks. At least one of the hooks is movable on the clamping system relative to the other hook. The hooks can be disposed in a first configuration wherein the hooks are insertable into two spaced-apart slots in a slotted support member, and in a second configuration wherein the hooks positively clamp and secure the support hardware onto the support member. A support assembly includes a support member having a plurality of spaced slots formed therein, a support bracket and a clamping system. The support bracket is mounted on a support member by disposing hooks of the clamping system so that they are insertable into spaced-apart slots, and then moving a hook to positively clamp the bracket onto the support member.