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

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You might like to have a look at Number Balance before trying this problem.

Here is a number balance, or equaliser:

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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?