Vessels P and Q hold alcohol solutions of 62.5% and 87.5% concentration, respectively. If 2 liters from vessel P are combined with 4 liters from vessel Q, what is the ratio of alcohol to water in the final mixture?

Explanation

Calculate the alcohol content in vessel P: (62.5/100) × 2 = 1.25 liters. For vessel Q: (87.5/100) × 4 = 3.5 liters. Total alcohol in the mixture = 1.25 + 3.5 = 4.75 liters. The combined volume is 6 liters, so water volume = 6 - 4.75 = 1.25 liters. Therefore, the ratio of alcohol to water is 4.75 : 1.25, which simplifies to 19 : 5.