A number of 55 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
Choose the correct choice from the following answers:
A) 10
B) 12
C) 15
D) 16
E) 19

Rationale: to maximize # of boxes we should minimize marbles per box : 17 * 3 + 1 * 4 + 1 * 5 = 50 - - > 17 + 1 + 1 = 19 . answer : e .
Answer: E