This task follows on from Chocolate for Three.
Bernard introduces Alison, Charlie and Liz to a new kind of chocolate bar:
When the four of them meet, they decide to share their chocolate equally.
Here are the numbers of squares of chocolate they have each time they meet:
12, 16, 4 and 8
10, 12, 8 and 6
6, 8, 12 and 7
9, 5, 9 and 13
9, 12, 7 and 8
5, 6, 7 and 9
When will they be able to share their chocolate equally?
Can you create an image (diagram) that helps you decide?
If Bernard, 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
- Bernard had 21, Alison had 39, Liz had 42 and Charlie had 102 bricks?
- Bernard had 144, Alison had 804, Charlie had 122 and Liz had 160 bricks?
- Bernard had 123, Alison had 87, Charlie had 99 and Liz had 63 bricks?
- Bernard had 321 728, Alison had 992 550, Charlie had 122 819 and Liz had 455 743 bricks?
Can you explain how you decide if any four large numbers of bricks can be shared equally?