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?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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.

...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

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.

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

The answer to this question is that the Arctic Wolf is 40 kg. and the bobcat is 8 kg. You can set up the equation as 1/5 X + X =48kg. Next, multiply 1/5 X by 5 to make it a whole number, or X. Multiply X by 5 also and then add X +5X together which becomes 6X.  Then, rewrite the equation as 6X=48kg. Divide both sides by 6 and you arrive at X = 8 kg. Therefore, if the bobcat is X and the Arctic Wolf is 5X, then the bobcat is 8kg and the Arctic wolf is 5(8kg) or 40kg.

Approved by eNotes Editorial Team