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ANSWERS >_<
1. 6x = 10 + 4x
This equation represents the amount of liquid in each vat, where x is the number of minutes that have passed. The left side of the equation represents the amount of liquid filling the first vat at a rate of 6 gallons per minute, and the right side represents the amount of liquid already in the second vat (10 gallons) plus the liquid filling it at a rate of 4 gallons per minute. When the two vats have an equal amount of liquid, the equation will be true.