2) A tank with capacity of 500 gallons initially holds 200 gallons of salt water containing 100 lb of salt. Water containing 1 lb of salt per gallon enters the tank at a rate of 3 gallons per minute. The mixture is allowed to flow out of the tank at a rate of 2 gallons per minute. Find the amount of salt in the tank after t minutes. How much salt is in the tank at the instant it overflows?

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