Fred and Barney have been eavesdropping on a new, mysterious neighbor and his wife. When the man brings over a trunk and asks Fred to keep it for him, Fred suspects the man's wife's body may be inside.
Hoping to advance at the quarry, Fred enrolls in the "Prinstone University" night class in accounting. He finds the classwork tough and even falls asleep on the job. Meanwhile, Mr. Slate wants Fred to join the quarry's football team, not realizing that football interfered with Fred's studies in his youth.
The Loyal Order of Water Buffaloes organizes a beauty contest, and Fred and Barney are chosen to judge it, against their will, as they anticipate their wives' jealousy. They must deal with the girls' displeasure as a parade of contestants come to their houses, and with pressure from various contestants' boosters, including Mr. Slate, who wants his daughter to be chosen, and a gangster who wants them to pick his "Cookie."