*Split the Booty Problem Solution*
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A pirate crew at the end of the day split the booty. The first pirate got
100 gold pieces, and 1/6 of the remaining booty. The second one got 200 gold
pieces, and 1/6 of the remaining booty. The third one got 300 gold pieces,
and 1/6 of the remaining booty. Ect. The last one only got, what if left
from the booty.
At the end, every pirate had the same ammount of gold pieces (from the
booty).
How many pirates were there, and how much was the booty.

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