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
To maximize # of boxes we should minimize marbles per box: 17*3+1*4+1*5=50 --&gt; 17+1+1=19.   Answer: 19.
<result>E</result>
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?