Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in the following figure. Use the information given in the ­figure to construct a mathematical model for the number of pounds of salt x₁(t) and x₂(t) at time t in tanks A and B, respectively.

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2 lb/gal 7 gal/min mixture 5 gal/min A B 100 gal 100 gal mixture mixture mixture 1 gal/min 3 gal/min 4 gal/min