A number of 53 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?	Choices
A) 10 B) 12 C) 15 D) 16 E) 17
To maximize # of boxes we should minimize marbles per box: 16*3+1*5= 
<gadget id="calculator">16*3+1*5</gadget>
<output>53</output>
53 --&gt; 16+1=17.   Answer: 17.
<result>E</result>
A number of 53 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?