SOLUTION: If Pirate Jack splits all of his coins into 7 equal piles for his parrots, he has 4 coins left. Or, if he splits all of his coins into 11 equal piles for his shipmates, he has 4 co

Question 1152466: If Pirate Jack splits all of his coins into 7 equal piles for his parrots, he has 4 coins left. Or, if he splits all of his coins into 11 equal piles for his shipmates, he has 4 coins left. Assuming every pile has at least 1 coin, what is the least possible number of coins Pirate Jack has?
Answer by ikleyn(52800) (Show Source): You can put this solution on YOUR website!
.


For a minute, put 4 coins aside from the collection.


Then the number of remaining coins is a multiple of both 7 and 11.


The smallest such an integer number of coins is 7*11 = 77.


Now return 4 coins back.


ANSWER.  The collection consists of 77+4 = 81 coins.

Solved.

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