The proportion of water to alcohol in Solution A is 2:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?  Choose the correct answer:  A) 46.7%  B) 47.3%  C) 48.4%  D) 50.6%  E) 51.8%
Let V be the total volume of the new solution.   Then a volume of V/2 was added from each solution A and B.   The amount of alcohol added to the new solution was:   (1/3)(V/2)+(3/5)(V/2)=V/6+3V/10=14V/30=7V/15.   The concentration of alcohol is 7/15=46.7%   The answer is 46.7%.
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The proportion of water to alcohol in Solution A is 2:1 and the proportion of water to alcohol in Solution B is 2:3. If an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?