Question 56
Pirate Bob has 14 silver, 15 gold, and 16 platinum coins, and Pirate Bill has 16 silver, 15 gold, and 14 platinum coins. From time to time they exchange their coins using the following rule: one of the pirates gives to the other pirate two coins of the same metal and instead of them gets two coins from the other two metals. At some moment Bill has no gold coins.
How many platinum coins can Bill have at this moment?
How many platinum coins can Bill have at this moment?