Solution

(related to Problem: The Abbot's Puzzle)

The only answer is that there were $5$ men, $25$ women, and $70$ children. There were thus $100$ persons in all, $5$ times as many women as men, and as the men would together receive $15$ bushels, the women $50$ bushels, and the children $35$ bushels, exactly $100$ bushels would be distributed.


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References

Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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