Chocolate for Three

This task follows on from Sharing Chocolate.

Alison introduces Charlie and Liz to a new chocolate bar:

Dark Chocolate 3 Rows.png


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.

Chocolate 3 12.png      Chocolate 3 10.png      Chocolate 3 14.png

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