Two tanks are interconnected. Tank A contains 80 grams of salt in 60 liters of water, and Tank B contains 50 grams of salt in 40 liters of water. A solution of 4 g/L flows into Tank A at a rate of 10 L/min, while a solution of 3 g/L flows into Tank B at a rate of 9 L/min. The tanks are well mixed. The tanks are connected, so 13 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 19 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. dx dt x (0)

Two tanks are interconnected. Tank A contains 80 grams of salt in 60 liters of water, and Tank B contains 50 grams of salt in 40 liters of water. A solution of 4 g/L flows into Tank A at a rate of 10 L/min, while a solution of 3 g/L flows into Tank B at a rate of 9 L/min. The tanks are well mixed. The tanks are connected, so 13 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 19 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. dx dt x (0)