A tramp, unable to afford cigarettes, collects butt ends. But he was man of substance and therefore he refuses to smoke the ends. Instead he shreds them until he has enough tobacco to make a real cigarette. When he has collected seven ends he has enough tobacco to make one whole cigarette. One lucky day he finds four cigarette ends in the gutter, and the an additional eight in the ashtray of a parked car, three in an old paint tin and five in the lobby of a hotel. He has enough money for a drink and manages to collect fifteen ends in the pub. He discovers four in the social security office, six more on his way home, and four in the pocket of an old coat when he gets there. How many whole cigarettes was he able to smoke that day?