A number of 44 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? Pick:
A) 10
B) 14
C) 15
D) 16
E) 17

Rationale: "to maximize # of boxes we should minimize marbles per box : 13 * 3 + 1 * 5 = 44 - - > 13 + 1 = 14 . answer b"
Answer: B