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Let x be the number of minutes it takes for both vats to have the same amount of liquid.
After x minutes, the first vat will have filled x gallons, and the second vat will have filled 28 + 4x gallons.
Setting these two expressions equal to each other:
x = 28 + 4x
3x = 28
x = 28/3
x ≈ 9.33
Therefore, it will take approximately 9.33 minutes for both vats to have the same amount of liquid.