Suppose Tank a Contains 50 Gallons of Water in Which

Essay

Suppose Tank A contains 50 gallons of water in which 30 ounces of salt are dissolved, and tank B contains 35 gallons of water in which 60 ounces of salt are dissolved. The following conditions also hold:
• Water with salt concentration of 1.6 ounces per gallon flows into Tank A at a rate of 1.8 gallons per minute.
• Water with salt concentration of 3.1 ounces per gallon flows into Tank B at a rate of 1.3 gallons per minute.
• Water flows from Tank A to Tank B at a rate of 1.8 gallons per minute.
• Water flows from Tank B to Tank A at a rate of 0.65 gallons per minute.
• Water drains from Tank B at a rate of 0.65 gallons per minute.
Set up a system of equations governing the amount of salt in Tank A,X _A (t), and the amount of salt in tank B, X _B (t), at any time t.