An expandable container system comprising: a container; an expandable dispensing element in the form of an expandable accordion style nipple, attached to a first end of the container; the expandable nipple having pleats or folds with interstitial spaces therebetween disposed in a neck of the expandable nipple, the expandable nipple being configured to increase the volume within the expandable container system when stretching the expandable nipple from a compressed steady position to an expanded position with increased interstitial spaces and extended pleats or folds, wherein the expandable nipple is made of an elastic resilient material that is biased so that in the expanded state, the expandable nipple creates a counteracting compression force (Fc) that biases to return the expandable nipple from the expanded position to the compressed steady position, and a removable valve attached to a second end of the container, wherein the removable valve is in the form of a resilient member constructed of an elastic resilient sealing material and is removable from the container, wherein the removable valve comprises an inlet, a passageway, and a first outlet, wherein the inlet is selectively and directly blockable and unblockable externally from the container to control entry of a first fluid into the container via the passageway, wherein the first outlet is configured as a one-way opening associated with the passageway that allows entry of the first fluid into the container, wherein a first flow rate of the first fluid that is associated with the entry of the first fluid into the container can be reduced in response to the inlet being selectively blocked externally from the container, and wherein a second flow rate of a second fluid when exiting the container via a second outlet in the expandable nipple can be controlled by the entry of the first fluid into the container. a container; an expandable dispensing element in the form of an expandable accordion style nipple, attached to a first end of the container; the expandable nipple having pleats or folds with interstitial spaces therebetween disposed in a neck of the expandable nipple, the expandable nipple being configured to increase the volume within the expandable container system when stretching the expandable nipple from a compressed steady position to an expanded position with increased interstitial spaces and extended pleats or folds, wherein the expandable nipple is made of an elastic resilient material that is biased so that in the expanded state, the expandable nipple creates a counteracting compression force (Fc) that biases to return the expandable nipple from the expanded position to the compressed steady position, and a removable valve attached to a second end of the container, wherein the removable valve is in the form of a resilient member constructed of an elastic resilient sealing material and is removable from the container, wherein the removable valve comprises an inlet, a passageway, and a first outlet, wherein the inlet is selectively and directly blockable and unblockable externally from the container to control entry of a first fluid into the container via the passageway, wherein the first outlet is configured as a one-way opening associated with the passageway that allows entry of the first fluid into the container, wherein a first flow rate of the first fluid that is associated with the entry of the first fluid into the container can be reduced in response to the inlet being selectively blocked externally from the container, and wherein a second flow rate of a second fluid when exiting the container via a second outlet in the expandable nipple can be controlled by the entry of the first fluid into the container.