Consider two brine tanks connected as shown in the figure. The brine solution is pumped from tank 1 into tank 2 at a rate of 10 L/min1 , and from tank 2 into tank 1 at a rate of 10 L/min . Suppose there are 50 L of brine in tank 1 and 25 L of brine in tank 2. Let x be the amount of salt, in kilograms, in tank 1 after t minutes have elapsed, and let y the amount of salt, in kilograms, in tank 2 after t minutes have elapsed. Assume that each tank is mixed perfectly.

Part A: If x(0)=5 kg and y(0)=4 kg , find the amount of salt in each tank after t minutes. x(t)=___________ kilograms y(t)=___________ kilograms

Part B: As t, how much salt is in each tank? In the long run, tank 1 will have ___________ kilograms of salt. In the long run, tank 2 will have ___________ kilograms of salt. (Reread the question and think about why this answer makes sense.)