A food mixing machine (20) has an agitator (25) to mix food in a cup (C). A cup holder (31) is provided with a flexible boot (32) which receives the cup (C). The cup holder (31) is moveable through an opening (90) in the machine (20) and carries a gripping assembly (33) and an actuator assembly (34). The actuator assembly (34) is moveable relative to the gripping assembly (33) and is biased by springs (35) to maintain fingers (56) of the gripping assembly (33) in engagement with the cup (C). When it is desired to release the cup (C), a release assembly (80) overcomes the bias of the springs (35). As the cup holder (31) moves through the opening (90), the area between the cup holder (31) and the opening (90) is sealed by a seal assembly (91) so that food materials cannot go through the opening (90).