Number Balance

Can you hang weights in the right place to make the the number balance balanced?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem

Number Balance printable sheet

This is an interactive number balance:

There are blue weights on the table, which you can hang onto the numbers.
Have a play with it!
 
Here is a picture of the number balance with some weights on it:
 
Image
Number Balance
 
 
Where would you need to hang a weight to make it balance?
 
What about this picture below? Where would you hang a weight to make it balance?
 
Image
Number Balance
 
If you had to use two weights and make the picture below balance, where could you put them?
 
Image
Number Balance
 
How many different ways can you make it balance with two weights?