banksy wrote:

A number of 50 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?

(A) 10

(B) 12

(C) 15

(D) 16

(E) 17

In order to get the largest number of boxes, we want to maximize the number of boxes that contain 3 marbles.

Thus, we can have 3 x 15 boxes = 45 marbles and then 1 box that contains 5 marbles, resulting in a total of 16 boxes as the max.

Answer: D

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