Five mathematically minded pirates discover a chest containing 100 gold coins. They sit down and devise a distribution strategy. The pirates are ranked Pirate 1 to Pirate 5, where Pirate 1 is the highest ranked. The highest ranked pirate gets to propose a plan on how to distribute the gold and then all the pirates vote on it. If at least half of the pirates agree to his plan, the gold is split according to the proposal. If not, the proposing pirate is thrown off the ship and the process will continue with the remaining pirates until a proposal is accepted. The first priority of the pirates is to stay alive and second is to maximize the gold they get. Pirate 1 devises a plan which he knows will be accepted for sure and will maximize his gold. What was the plan he proposed?
Solution is here