Abstract: A method of dispensing ink that includes installing a cartridge having an ink-filled chamber into the dispenser of a web fed or a sheet fed offset printing press, with the chamber being defined by a tubular body, a fitment at a dispensing end having an outlet port closed by a valve, and a plunger slidably disposed in the open end of the tubular body opposite the dispensing end. The method includes weighing the cartridge in situ with a weighing device positioned within the ink dispenser to determine an initial weight of the cartridge prior to dispensing ink, dispensing ink from the cartridge throughout the print job, and weighing the cartridge in situ to determine an ending weight of the cartridge prior to removal from the ink dispenser. The ending weight is then subtracted from the initial weight to determine the weight of the ink dispensed during the print job.