Tom mixed red and blue paint to get 2 tins of purple paint, each containing 600ml. The proportion of red paint tom used is 2/3 of the total amount of paint. How much red paint did tom use
Let's assume that the total amount of paint Tom used is R + B = T ml, where R represents the amount of red paint and B represents the amount of blue paint.
The proportion of red paint Tom used is 2/3 of the total amount of paint, so R = (2/3)T.
The total amount of paint is given as 600ml in each tin, so each tin contains 600ml * 2 = <<600*2=1200>>1200ml.
Since each tin contains the total amount of paint (T), we can write the equation T = 1200ml.
Substituting the value of T in the equation R = (2/3)T, we get R = (2/3)(1200ml).
R = 2400ml/3.
R = <<2400/3=800>>800ml.
Tom used 800ml of red paint. Answer: \boxed{800}.