We have a system of two interconnected tanks initially with Tank A holding 22 gal of water and 10oz of salt, and Tank B holding 17 gal of water and 12 oz of salt.A brine with salt concentration 8 oz/gal flows into Tank A at a rate of 5 gal/min, and the solution inTank A is discharged from the system at a rate of 2 gal/min.A brine with salt concentration 3 oz/gal flows into Tank B at a rate of 6 gal/min, and the solution inTank B is discharged from the system at a rate of 9 gal/min.The two tanks are interconnected by two pipes: through one of the pipes the solution flows fromTank A to Tank B at a rate of 7 gal/min, and through the other pipe the solution flows from Tank B toTank A at a rate of 4 gal/min.Denote by Q1(t) and Q2 (t) respectively, the amounts of salt in Tanks A and B after t minutes.Write the initial value problem for Q1 (t) and Q2(t); that is, write the differential equations andthe initial conditions for Q1 (t) and Q2 (t).Remark 1: You need to show the derivation of the differential equations.Remark 2: You are NOT required to solve Q1 (t) and Q2 (t). We have a system of two interconnected tanks initially with Tank A holding 22 gal of water and 10oz of salt, and Tank B holding 17 gal of water and 12 oz of salt.A brine with salt concentration 8 oz/gal flows into Tank A at a rate of 5 gal/min, and the solution inTank A is discharged from the system at a rate of 2 gal/min.A brine with salt concentration 3 oz/gal flows into Tank B at a rate of 6 gal/min, and the solution inTank B is discharged from the system at a rate of 9 gal/min.The two tanks are interconnected by two pipes: through one of the pipes the solution flows fromTank A to Tank B at a rate of 7 gal/min, and through the other pipe the solution flows from Tank B toTank A at a rate of 4 gal/min.Denote by Q1(t) and Q2 (t) respectively, the amounts of salt in Tanks A and B after t minutes.Write the initial value problem for Q1 (t) and Q2(t); that is, write the differential equations andthe initial conditions for Q1 (t) and Q2 (t).Remark 1: You need to show the derivation of the differential equations.Remark 2: You are NOT required to solve Q1 (t) and Q2 (t).

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