Answer:
A couple of questions first:
Are we going to divide the candy box equally between those 2,3 or 7 person at one event- (at the same time )?
Are there 12 persons to take into consideration and that each gets the same number of candy pieces?
Are the 3 persons (and the other 2 as well) -different individuals from those who are the 7 referred to . If not then we have to consider 2 more persons.
So does the equal division of candy pieces have to be made between a minimum of 7, 10 or 12 individuals (2+3+7)?
The lowest common denominator is going to be 42. ( 2 x 3 x 7) Therefore seven persons would each get 6 pieces.)
But if the 2 and 3 people are diffèrent persons than the 7 , they will get an equal share ie. 6 pieces each, as well!
2 x 6 = 12
3 x 6 = 18
7 x 6 = 42
So, the box would have to contain at least 72 pieces of candy/ /chocolates or 6 dozens. And every one of the 12 would be happy with his 6 chocolates.
Explanation: