*This task follows on from Sharing Chocolate.*

Alison introduces Charlie and Liz to a new chocolate bar:

When the three of them meet, they decide to share their chocolate equally. Liz has 12 squares left, Charlie has 10 squares and Alison has 14 squares.

**Will they be able to share their chocolate equally?**

Here are the numbers of squares of chocolate they have each time they meet:

12, 3 and 6

7, 10 and 16

9, 12 and 13

9, 12 and 14

5, 11 and 14

When will they be able to share their chocolate equally?

**Can you create an image (diagram) that helps you decide?**

If Alison, Liz and Charlie were sharing a large number of Lego bricks, creating an image to represent all the bricks will take too long...

**Can you create simple diagrams to help you decide if they will be able to share their bricks equally, if**

- Alison had 123, Liz had 63 and Charlie had 48 bricks?
- Alison had 66 667, Charlie had 4 623 457 and Liz had 659 221 bricks?

**Can you explain how you decide if any three large numbers of bricks can be shared equally?**

*You might now like to try Chocolate for All*