You have two two-liter bottles, one (marked W) containing one liter of pure water and one (marked A) containing one liter of pure alcohol. The two things you can do are to pour liquid from either bottle down the drain or pour liquid from one bottle into the other, but you must always keep at least one liter of liquid in bottle A.

What is the minimum alcohol concentration that can be achieved in bottle A? Assume that there is no volume change on mixing water and alcohol.

(In reply to re(2): soln by Steven Lord)

While we both agree on the thought process and the result, I am just wondering if there is anything more mathematically rigorous that can be done to prove this.  

Posted by Kenny M on 2025-02-04 06:37:24