Henry Ernest Dudeney/Modern Puzzles/7 - Selling Eggs
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Modern Puzzles by Henry Ernest Dudeney: $7$
- Selling Eggs
- A woman took a certain number of eggs to market and sold some of them.
- The next day, through the industry of her hens, the number left over had been doubled, and she sold the same number as the previous day.
- On the third day the new remainder was trebled, and she sold the same number as before.
- On the fourth day the remainder was quadrupled, and her sales the same as before.
- On the fifth day what had been left over were quintupled, yet she sold exactly the same as on all the previous occasions, and so disposed of her entire stock.
- What is the smallest number of eggs she could have taken to market the first day, and how many did she sell daily?
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Money Puzzles: $7$. -- Selling Eggs
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $163$. Selling Eggs