The invention disclosed herein provides a way to engage a used concentrate packet such as a tea bag in a drink container in which a liquid product was made from the concentrate without removing the packet from the container and without having to directly contact the packet. Thus, one need not wet his or her fingers or anything in the area of the container, and the used packet when engaged will not interfere with drinking of the liquid product. The packet is also isolated from the interior of the drink container to inhibit further infusion or dissolving of any concentrate remaining in the packet, thereby to control the strength or concentration of the liquid product without having to remove the packet from the container. In the preferred embodiment the holder defines a compartment into which the used packet may be moved to isolate the packet from the interior of the drink container so as to inhibit further concentrating the liquid product from any concentrate in the packet. The compartment has a first opening thereto in the container and the flexible element passes through the opening so that movement of the flexible element towards the holder draws the packet into the compartment. The compartment is sized to allow the packet enter the compartment through the opening and be engaged in the compartment. Preferably, the compartment is sized such that the packet is squeezed when moved from the drink container into the compartment causing liquid in the packet to be squeezed therefrom. The compartment has a second opening which is sized to permit the flexible element but not the packet to pass therethrough. When the flexible element passes through the first opening and is accessible at the second opening, the flexible element may be grasped and used to move the packet into the compartment through the first opening. This may be done with a cover engaged with a disposable container. The concentrate is provided pre-measured in a packet to make a single serving or dosage, or defined multi-servings or dosages, and the packet may be provided with an easily removable protective jacket.