The king took a cup filled with juice and drank 1/5 of its contents. When the king looked away, the court jester refilled the cup by adding water to the remaining juice and then stirring. The king drank ¼ of this mixture. When the king looked away again, the jester refilled the cup with more water and stirred, and the king drank 1/3 of this mixture. When the king looked away a third time, the jester refilled the cup with more water. What percentage of this final mixture was water?
This problem has to be explained to elementary school age children they have no algebra concepts. It can be done or it would not have been asked of me.
thanks in advance.