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Logic Puzzle # 142 Logic Problems Help



Logic Problem Solution:
The Great Train Robbery

From the introduction, Butch Moondance robbed the four passengers on the Gallup-Santa Fe Express of $2500, with no two losing the same sum. By clue 1, immediately after robbing Doc Masterson, Butch held up someone in the sleeper car for $250 more than he got from Doc. By clue 3, immediately after sticking up someone in the baggage car, Butch got $750 less from Belle Cody than he got from the person in the baggage car. Therefore, since Doc can't have been the person in the baggage car, or Butch would have gotten two different amounts from Belle in the sleeper, all four of Butch's victims are listed between the two clues. By clue 4, the least Butch got from one of the four was $250, either from Doc Masterson (1) or from Belle Cody (3). If Doc had lost the $250, the person in the sleeper would have lost $500 (1). Then Belle and the person in the baggage car would have lost a total of $1750 ($2500-$750). Letting Belle's loss equal X, the person in the baggage car would have lost X + 750; so 2X + 750 would equal 1750 and X would equal $500, the sum Belle would have lost. But this is the same sum the person in the sleeper would have lost, contradicting the introduction. Therefore, Belle Cody lost $250 to Butch, and the person Butch robbed in the baggage car lost $1000 (3). In clue 1, then, Doc Masterson and the person Butch held up in the sleeper car lost a total of $1250. Letting Doc's loss be X, the person in the sleeper would have lost X + 250, so 2X + 250 = 1250. Solving, X would equal $500. Doc lost $500 and the person held up in the sleeper car $750. By clue 2, Wyatt Hickock didn't lose the most, so Butch robbed him in the sleeper car. By elimination, Butch took Annie Starr's cash in the baggage car. By clue 4, the person robbed in the dining car didn't lose the least and was therefore Doc Masterson. Belle Cody got held up in the passenger coach. In sum, Butch Moondance robbed the four passengers on the train as follows:

  • Annie Starr in the baggage car, $1000
  • Wyatt Hitchcock in the sleeper car, $750
  • Doc Masterson in the dining car, $500
  • Belle Cody in the passenger car, $250



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