The mass of a bobcat is one-fifth the mass of an Arctic Wolf. Their combined mass is 48kg. What is the mass of the bobcat? The arctic Wolf?

Let the mass of a Bobcat be
B.

Let the mass of an Arctic wolf be
A.

Given that the mass for both is 48
kg.

==> A + B = 48
................(1)

But we are also given that the mass of
B is 1/5 of the mass of A.

==> B = 1/5 *
A................(2)

Now we will solve the system by
substituting (2) into (1).

==> A + (1/5 * A) =
48

==> (6/5)*A = 48

We
will multiply by 5/6

==> A = 48 * 5/6 =
40

==> B = 1/5 * 40 =
8

Then, the mass of the Bobcat is 8
kg.

The mass of the Arctic
Wolf is 40 kg.