Assignment:
Problem from Lewis Carroll: There are two cups, the first one contains 50 spoonfuls of brandy, the second one 50 spoonfuls of water. Someone takes a spoonful from the cup with brandy and empties it into the water cup, mixes well, and then takes a spoonful of the mixture and empties it into the first (brandy) cup. Does the first cup now contain more, less, or the same amount of brandy as the second contains water?
Provide complete and step by step solution for the question and show calculations and use formulas.