Archit143 wrote:

A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?

(A) 43

(B) 44

(C) 49

(D) 50

(E) 51

Let's first divide= 599 by 12 (the minimum amount each member could contribute) and then use the remainder to finish the problem.

599/12 = 49 R 11

This means that: 49 people x $12 + 1 person x $11 = $599

We see that if 49 members each contribute $12, someone would have to contribute the extra $11. Note that, since each member contributed at least $12, the $11 could not have come from an additional member. Therefore, the extra $11 must have been contributed by one (or more) of the existing 49 members. Regardless of who contributed the extra $11, the maximum number of members the club could have is 49.

Answer is C.

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