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Let x be the number of minutes it takes for the two vats to have the same amount of liquid.
At time x, the first vat will have 6x gallons of liquid and the second vat will have 28 + 4x gallons of liquid.
Setting the two expressions equal to each other:
6x = 28 + 4x
2x = 28
x = 14
So, it will take 14 minutes for the two vats to have the same amount of liquid.