Henry Ernest Dudeney/Puzzles and Curious Problems/135 - Distributing Nuts
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Puzzles and Curious Problems by Henry Ernest Dudeney: $135$
- Distributing Nuts
- Aunt Martha bought some nuts.
- She gave Tommy one nut and a quarter of the remainder;
- Bessie then received one nut and a quarter of what were left;
- Bob, one nut and a quarter of the remainder;
- and, finally, Jessie received one nut and a quarter of the remainder.
- It was then noticed that the boys had received exactly $100$ nuts more than the girls.
- How many nuts had Aunt Martha retained for her own use?
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Sources
- 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $135$. -- Distributing Nuts
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $208$. Distributing Nuts