Here it is: 3 squirrels gather a pile of nuts and decide to store the pile outside their house overnight. During the night, 1 of the squirrels wakes up hungry and decides to steal 1/3 of the pile but he has to eat one in order to be able to take exactly 1/3. He leaves 2/3 of the nuts behind and goes back to bed. Exactly the same thing happens to the 2nd squirrel, who wakes up, eats 1 of the nuts, steals exactly 1/3 of the pile that's left, and goes back to bed. Then precisely the same thing happens to the third squirrel. She eats 1 nut, hides away 1/3 of the remaining nuts, and goes back to bed. In the morning, the 3 squirrels awake and divvy up the pile which is not empty. It divides exactly into three.
What is the amount of nuts that was in the original pile?
2006-12-04
14:12:13
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3 answers
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asked by
sugarplum_42223
2
in
Mathematics