Henry Ernest Dudeney/Puzzles and Curious Problems/176 - Counting the Loss
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Puzzles and Curious Problems by Henry Ernest Dudeney: $176$
- Counting the Loss
- An officer explained that the force to which he belonged originally consisted of $1000$ men, but that it lost heavily in an engagement,
- and the survivors surrendered and were marched down to a concentration camp.
- On the first day's march one-sixth of the survivors escaped;
- on the second day one-eighth of the remainder escaped, and one man died;
- on the third day's march one-fourth of the remainder escaped.
- Arrived in camp, the rest were set to work in four equal gangs.
- How many had been killed in the engagement?
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $176$. -- Counting the Loss
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $240$. Counting the Loss