In a dye-making process, a young lady mixes 3/5th of 20 liters of water with 5/6th of 18 liters of vinegar. How many liters of the mixture are obtained? Let's think first. Chain of thought:
3 / 5th of 20 liters of water is 20 * (3 / 5) = 12 liters. 5 / 6th of 18 liters of vinegar is 18 * (5 / 6) = 15 liters. 12 liters of water mixed with 15 liters of vinegar gives 12 + 15 = 27 - liter mixture.
Therefore, the answer is 27.