Step 1 :Let's denote the amount of mix A as x and the amount of mix B as y. Then, the total amount of protein is given by \(0.1x + 0.4y = 30\), and the total amount of fat is given by \(0.06x + 0.04y = 8\).
Step 2 :We can solve this system of equations to find the values of x and y.
Step 3 :The solution to the system of equations is x = 100 and y = 50.
Step 4 :This means that to obtain the right diet for one animal, 100 grams of mix A and 50 grams of mix B should be used.
Step 5 :Final Answer: One animal's diet should consist of \(\boxed{50}\) grams of Mix B.