Referring to Figure 10.5, tank 1 initially contains 200

Chapter 10, Problem 10.56

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Referring to Figure 10.5, tank 1 initially contains 200 gallons of saltwater (brine), while tank 2 initially contains 300 gallons of brine. Beginning at time 0, brine is pumped into tank 1 at the rate of 4 gallons per minute, pure water is pumped into tank 2 at 6 gallons per minute, and the brine solutions are interchanged between the two tanks and also flow out of both tanks at the rates shown. The input to tank 1 contains 1/4 pound of salt per gallon, tank 1 initially has 200 pounds of salt, and tank 2 initially has 150 pounds of salt. Determine the amount of salt in each tank at time t > 0.

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