A 500-gallon tank initially contains 200 gallons of brine containing 90 pounds of dissolved salt. Brine containing 3 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows out of the tank at the rate of 1 gallon per minute. Set up a differential equation for the amount of salt A(t) in the tank at time t. How much salt is in the tank when it is full? (Round your answer to the 2 decimal places).
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\frac{dA}{dt} = 3 pounds of salt per gallon Show more…
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