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Answer :
Final answer:
The volumes of water in beakers A, B, and C before any water was transferred are 200 ml, 300 ml, and 700 ml respectively.
Explanation:
The subject here is the volumes of water in different beakers. Let's denote the volumes of water in beakers A, B, and C before any water is transferred as VA, VB, and VC respectively. We know from the problem that the volume of water in beaker C is initially twice that in beaker B, hence VB is half of VC i.e., VC = 2VB. Also, after transferring the water from beaker A, beaker B has 400 ml and beaker C has 1000 ml of water. This means, VB + (VA * 1/4) = 400 and VC + (VA * 3/4) = 1000. Using these work out to be VA = 200 ml, VB = 300 ml, VC = 700 ml.
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