In the farm club pet show 44 pets are entered there are three times as many dogs as cats and half as many ferrets as dogs how many of each are there?

d + c + f = 44

c = d/3

f = d/2

substituting ... d + d/3 + d/2 = 44

multiplying by 6 ... 6d + 2d + 3d =264

11 d = 264

find d ... then substitute back to find c and f