When mixing a certain wingspantail a barperson starts with a 10 litre solution of 20% alcohol. Into this solution the barperson mixes a 40% alcohol mixture at the rate of 1 litre/minute and pours into glasses at the rate of 2 litres/minute.
(a) Find a formula for the volume V (t) of the mixture at time t minutes.
(b) Find a differential equation that tells the rate of change of the amount
of alcohol A(t) at time t minutes.
(c) Solve the differential equation and use the initial condition to find a
formula for A(t)

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