Henry Ernest Dudeney/Modern Puzzles/7 - Selling Eggs

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 * 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?