“Sailor, Coconuts and Monkeys”– Continued Fractions
This puzzle has appeared in many forms but here is one variant:
Five sailors were cast away on an island. To provide food, they collected all the coconuts they could find. During the night one of the sailors awoke and decided to take his share of the coconuts. He divided the nuts into five equal piles and discovered that one nut was left over, so he threw this extra one to the monkeys.