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THIS WEEKS CONTEST
TEASER "Puzzle #1"
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?
Puzzle
#1 Winner
Shirley Wolf
Entries=95 ,Correct
Solutions=18
Incorrect Solutions=77 ,%
Correct =18.94% Click
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THE
SOLUTION
The smallest possible number of eggs is 103, and the woman sold 60 every day. Any multiple of these two numbers will work. Thus, she might have started with 206 eggs and sold 120 daily; or with 309 and sold 180 daily. But we required the smallest possible number.
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