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One half of the proof is the percentage. 100 proof alcohol is 50% or half alcohol.
Suppose there is x% by volume of something in a mixture then it simply means out of 100 ml of that sample x ml is of that thing. ------------------------------------------------------------------- There are two common ways of indicating how much of each element or compound is contained in a mixture. They are percent by volume and percent by weight. For example, the amount of alcohol in an alcoholic beverage is measured in proof, where one proof equals one half percent alcohol by volume.
200 ml X .50 = 100 ml
Let x = ounces of 50% solution, and y = ounces of 1% solution. So that we have: 0.5x + 0.01y = 8(0.2) which is a linear equation in two variables, meaning there are infinitely many choices of mixing those solutions.
50% + 50% = 100%