## PhoenixFire 3 years ago When mixing a certain "alcoholic beverage" a barperson starts with a 10 litre solution of 20% alcohol. Into this solution the barperson mixes a 40% mixture at the rate of 1 litre/minute and pours into glasses at the rate of 2 litre/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)

1. PhoenixFire

For (a) I got $V(t) = 10 - t$

2. PhoenixFire

I can't figure out (b).... I tried ${\delta A \over \delta t}=0.2(10-t)+0.4t-2t{A \over {10-t}}$ But I don't know if that's right. Please help.

3. TuringTest

oh that language filter, lol