In Solution P, the proportion of water to alcohol is 5:4. In Solution Q, the proportion of water to alcohol is 7:5. 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 option:
A) 35% B) 37% C) 39% D) 41% E) 43%
Let V be the total volume of the new solution.   The amount of alcohol added from Solution P is (4/9)*V/2=(2/9)*V   The amount of alcohol added from Solution Q is (5/12)*V/2=(5/24)*V   The total amount of alcohol in the new solution is (2/9+5/24)*V=(31/72)*V   The alcohol concentration is 31/72=43% (approximately)   The answer is 43%.
<result>E</result>
In Solution P, the proportion of water to alcohol is 5:4. In Solution Q, the proportion of water to alcohol is 7:5. 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?