a vessel is 1/5th full. if 30litres was added to the vessel it became half full. determine how many more litres needed to be added so that the vessel will be 3/4th full.
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Let the total capacity of the drum be x .
The drum is 2/3 full.
Amount of liquid present in the drum = (2/3)x
It is given that if 50 more litres are added then the drum becomes full.
So the total capacity of the drum = (2/3)x + 50
But the total capacity = x
So, (2/3)x + 50 = x
(2x+150)/3 = x
x = 150
Thus, the total capacity of the drum is 150 litres.
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