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Problem 5. (Innkeeper Problem)

After a long day hiking, three hikers stop at an inn where they order a big plate of dumplings to share between them. However, by the time the innkeeper brings the dumplings and places them on the table the hikers are sound asleep. A little later the first hiker awakes and eats one-third of the dumplings. A little later the second hiker awakes and eats one-third of the remaining ones. Then finally the third hiker awakes and eats one-third of what is left. After the third hiker finishing eating, there were 8 dumplings on the plate. How many dumplings did the innkeeper prepare ?

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Last modified on Tuesday, January 12, 1999