Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 65 percent carbonated water, what percent of the volume of the mixture is P? Pick
A) 20%
B) 40%
C) 50%
D) 60%
E) 80%
65% is 15%-points below 80% and 10%-points above 55%.   So the ratio of solution P to solution Q is 2:3.   Mixture P is 2/5 = 40% of the volume of mixture PQ.   The answer is 40%.
<result>B</result>
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 65 percent carbonated water, what percent of the volume of the mixture is P?