A system includes a conveyor that transports a carriage carrying a foodstuff along a path. A bag dispenser contains multiple bags and moves a first bag into the path. A paddle includes a hinge at a trailing edge of the paddle. The paddle includes an actuator that moves a leading edge of the paddle relative to the trailing edge between retracted and extended positions. The leading edge of the paddle moves into a mouth of the first bag as the leading edge is moved from the retracted to the extended position. While the paddle is in the extended position, movement of the carriage and the foodstuff underneath the paddle rotates the leading edge of the paddle about the hinge to open the mouth of the first bag such that continued movement of the carriage and the foodstuff moves the foodstuff through the mouth and into the first bag.