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Question: 5 mcdonalds sells chicken mcnuggets in quantities of 6 9...

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(5) McDonalds sells Chicken McNuggets in quantities of 6, 9, and 20. (At least they did at one point in time.) If you want to buy exactly 67 McNuggets, you could buy two boxes of 20 and three boxes of 9. If you wanted exactly 14 McNuggets, theres no way of doing it. . Find a way of buying exactly 82 McNuggets. . Find the largest quantity that CANNOT be purchased exactly. (6) Alice, Bob, Cathy, Dave, and Eileen are taken to the police station, as suspects in a crime. Detectives know that one of them is the thief and only one of them tells the truth. Upon questioning, the suspects give the following statements: . Alice: I am not the thief. .Bob: Alice is the thief. . Cathy: I am the thief. . Dave: Cathy is the thief. . Eileen: I am not the thief. Who is the thief, and who is the truth-teller? Prove your answer.
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