A method of dispensing a fluid includes coupling a manifold to a fluid source, the manifold including at least portions of opposing flexible sheets welded together to form a fluid flow path therebetween; passing a fluid from the fluid source through the fluid flow path of the manifold and into a plurality of flexible bags coupled to the manifold; sealing closed each of the flexible bags; progressively collapsing the fluid flow path along a length of the manifold so as to force a portion of the fluid remaining within the fluid flow path into one of the flexible bags before all of the flexible bags are sealed closed; and removing each sealed bag from the manifold.