Chocs, mints, jellies
Problem
In a bowl there are $12$ sweets. There are $4$ Chocolates, $3$ Jellies and $5$ Mints.
There are three children who would like to share the sweets.
Dan cannot eat Chocolate.
Sid does not like Mints.
Anna likes them all.
Find a way to share the sweets equally between the three children so they each get the kind they like.
Is there more than one way to do it?
Getting Started
Which kind of sweets does Sid like?
Can you find four sweets that Dan could have? Can you find another four sweets that he could have?
What could Sid and Anna have if Dan had just mints?
Student Solutions
Matthew (St.Clare School, Mississauga, Ontario, Canada) found this way to give the three children 4 sweets each.
Dan - 3 mints, 1 jelly
Sid - 2 chocolate, 2 jellies
Anna - 2 chocolate, 2 mints
Kirsten (St.Clare School, Mississauga, Ontario, Canada) found two more ways to do it.
Dan - 3 mints, 1 jelly
Sid - 1 jelly, 3 chocolates
Anna - 1 chocolate, 1 jelly, 2 mints
OR
Dan - 3 jelly, 1 mint
Sid - 4 chocolate
Anna - 4 mints
I wonder if there are any other ways to do it?