Copyright © University of Cambridge. All rights reserved.

## 'Are You Well Balanced?' printed from http://nrich.maths.org/

You might like to have a look at

Number Balance before trying this problem.

Here is a number balance, or equaliser:

Full Screen Version
**If you can see this message Flash may not be working in your browser**
**Please see http://nrich.maths.org/techhelp/#flash to enable it.**
It has weights hanging off it to make it balance.

We can hang more than one weight from each hook.

I hang one weight on the $10$. I want to use just one hook on
the other side of the equaliser.

Where could I put weights and how
many would I need to put on?

Is there only one answer?

Now I hang two weights on the $10$ on one side of the
equaliser.

Using only the $2$ hook, how could
I add weights on the other side to make it balance?

Using only the $5$ hook, how could
I add weights on the other side to make it balance?

How could you make it balance using
both the $2$ and the $5$ hooks? Is there only one solution?

Now I hang one weight on the $10$ hook on one side of the
equaliser.

If I use the $3$ hook and one
other, how can I make it balance?