Long before Professor Templeton started his career at the Redrum University he had a job at Whiskey distillery in Tennessee. Occasionally the distillery would produce unfilled barrels at the end of a run. These were usually set aside and an "Old-timer" would come once a month and buy them at a discount. One month he showed up and bought six semi-filled barrels of whiskey, five were regular quality whiskey and one was of superior quality. Being a curious sort, I asked him what he did with the barrels after he bought them. He told me he usually resold them to various characters, but his family had two weddings coming up and he was giving some of the regular whiskey for his son's wedding and twice as much for his daughter's wedding. The one barrel of "the good stuff" he was keeping for himself. The quantity of whiskey in the six barrels was 15,16,18,19,20 and 31 gallons. How much whiskey did the man keep for himself? None of the transferred from their initial barrels.