Logic Problem Solution: The Donut Bakers' Breakfast From clue 1, two of the workmates ate 3 donuts apiece; while by clue 10, two bakers each had 2 donuts; the fifth man must also have eaten two donuts to make a dozen. By clue 1, one of the men who had 3 donuts had an apple crumb donut as one of them and the second man who ate 3 donuts had a maple iced donut as one of them. By clue 4, one man ate a lemon filled donut and a powdered donut. He isn't King (4); in clue 10, then, where all five donut eaters are mentioned, he is either Danny or ate a bowtie donut as his third. However, the latter is impossible, since the combination of a lemon filled, a powdered, and a bowtie donut contradicts clue 1. So, Danny had a lemon filled and a powdered donut. By clue 8, one man ate both a traditional cake and a chocolate cake donut. In clue 10, he must be King or have had the bowtie as a third donut. However, again, the combination of the two cake donuts and the bowtie conflicts with clue 1. So, King had a traditional cake donut and a chocolate cake donut. Neither Danny (6) nor King (8) had a maple iced donut; in clues 1 and 10, therefore, the maple iced donut and the bowtie were consumed by the same programmer. In clue 10, then, we have the five donut eaters: Danny, who had a powdered and a lemon filled; King, who had a traditional cake and a chocolate cake; the man who ate 3 donuts including a maple frosted and a bowtie; the man who had 2 donuts including a Bavarian cream; and the programmer who consumed the coconut cake and one other donut. By clue 2, one of the men who had 2 donuts ate a glazed one but not a Bavarian cream; he must be the man who had a coconut cake in clue 10. By clue 5, Andrew Beck ate 2 donuts but did not eat a sugar raised donut. If Andrew had picked a Bavarian cream, the sugar raised donut would then be the third donut to the maple iced and bowtie; and, since the apple crumb donut was also one of the pairs of 3 eaten (1), Andrew would have had a jelly filled to go with the Bavarian cream--no, since Ron did (7). So, Andrew Beck's 2 donuts were the coconut cake and the glazed. By clue 7, Ron had a jelly filled donut, which he had either as a second donut to the Bavarian cream or as a third donut to the maple iced. If Ron had the jelly filled and the Bavarian cream, by clue 1, the sugar raised donut would have been eaten with the maple iced and the bowtie. Since Ron isn't Watson (7) and Watson didn't have the sugar raised donut (9), Watson would be Danny. If Ron had the jelly filled as a third donut to the maple iced and bowtie, the raised donut would have been eaten with the Bavarian cream (1). Again, Ron isn't Watson (7) and Watson didn't have the sugar raised donut (9). Watson would be Danny in either case. Then Danny had only two donuts, since he didn't have the apple crumb (9); and King would have had the apple crumb as a third donut. Trout had the Bavarian cream (3) and Close the maple filled and bowtie. Trout isn't Ron (3), so Ron must be Close and have had a jelly filled donut with a maple iced and a bowtie (7). Trout had a sugar raised donut. Trout is Mike and King Jeff (11). The five Crispy Cream bakers ate their dozen donuts as follows:
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