Correct Answer: 32 Liter
Explanation:
Step 1: Analyze Container A
Step 2: Take out 18 liters from A and move to B
Step 3: Let the initial quantity in Container B be x liters
Step 4: Add the transferred 16 L milk and 2 L water to B
Total milk in B = (3/4)x + 16 Total water in B = (1/4)x + 2
Step 5: Given that the difference between total milk and water in B is 30 liters
[(3/4)x + 16] - [(1/4)x + 2] = 30 => (3x - x)/4 + 14 = 30 => (2x)/4 + 14 = 30 => x/2 + 14 = 30 => x/2 = 16 => x = 32
Answer: 32 liters
The initial quantity of mixture in container B was 32 liters.
This problem demonstrates how mixture problems can combine ratios, algebra, and logical analysis. It’s a classic type of question seen in quantitative aptitude exams and useful in real-life scenarios involving blending and resource allocation.
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