In Solution P, the proportion of water to alcohol is 3:1. In Solution Q, the proportion of water to alcohol is 2:1. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
Choose the correct choice from the following answers.
A) 25%
B) 29%
C) 33%
D) 37%
E) 41%
Let V be the total volume of the new solution.   The amount of alcohol added from Solution P is (1/4)*V/2=(1/8)*V   The amount of alcohol added from Solution Q is (1/3)*V/2=(1/6)*V   The total amount of alcohol in the new solution is (1/8+1/6)*V=(7/24)*V   The alcohol concentration is 7/24=29% (approximately)   The answer is 29%.
<result>B</result>
In Solution P, the proportion of water to alcohol is 3:1. In Solution Q, the proportion of water to alcohol is 2:1. If the two solutions are combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?