Here are 3 red candies in a pack, 6 blue candies in a pack, and 14 pink candies in a pack. if your wonderful math teacher wants to split the candy for their students so that there is an equal number in each bag. how many candies must be in each bag to ensure that each bag has an equal number of red, blue, and pink candies in it?

Given:
3 red candies
6 blue candies
14 pink candies

Condition:
Split into bags where candies have an equal number of red, blue, and pink candies.

There can only be 3 bags. Each containing 1 red candy, 2 blue candies, and 4 pink candies. There will be an excess of 2 pink candies. 

This division is solely reliant on the number of red candies available because it is the color that has the smallest number of candies.