1. The problem statement, all variables and given/known data We have two identical glasses. Glass 1 contains x ounces of wine; glass 2 contains x ounces of water (x≥1). We remove 1 ounce of wine from glass 1 and add it to glass 2. The wine and water in glass 2 mix uniformly. We now remove 1 ounce of liquid from glass 2 and add it to glass 1. Prove that the amount of water in glass 1 is now the same as the amount of wine in glass 2. 2. Relevant equations ? 3. The attempt at a solution First we have Glass 1: x ounces of wine Glass 2: x ounces of water After the first transaction we have Glass 1: (x-1) ounces of wine Glass 2: x ounces of water + 1 ounce of wine Since we're mixing uniformly, the makeup of each glass will be Glass 1: 100% wine Glass 2: [ x / (x+1) ] * 100% ounces of wine , [ 1 / (x+1) ] * 100% ounces of water Am I right so far?