Sample Problem Solution

First notice that at the end of the process, there is one liter of fluid in the wine jug and one liter of fluid in the water jug. Let W be the milliliters of wine in the water jug. Then there must be 1000 - W milliliters of water in this jug. That leaves W milliliters of water, which must all be in the wine jug! So there is exactly as much water in the wine jug as there is wine in the water jug.