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Director
Status: Final Lap Up!!!
Affiliations: NYK Line
Joined: 21 Sep 2012
Posts: 953
Location: India
GMAT 1: 410 Q35 V11
GMAT 2: 530 Q44 V20
GMAT 3: 630 Q45 V31
GPA: 3.84
WE: Engineering (Transportation)

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26 Sep 2012, 11:17
4
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

Obviously club could not have 50 or more members, since $12*50=$600>$599. What about 49? If 48 members contributes$12 ($12*48=$576) and 1 member contributed the remaining $23, then the club would have is 48+1=49. Answer: C. OR: $$12x\leq{599}$$ --> $$x\leq{49\frac{11}{12}}$$ --> $$x=49$$ (since x must be an integer). Answer: C. _________________ SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1827 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: A club collected exactly$599 from its members. If each  [#permalink]

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02 Jul 2014, 01:47
2
1
Rounded off 599 to 600 (Its divisible of 12)

$$\frac{600}{12} = 50$$

Members should be atleast 1 less that 50

50-1 = 49

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Director
Joined: 10 Mar 2013
Posts: 512
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)

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21 Jun 2016, 09:34
1
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. _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Manager Joined: 30 Apr 2013 Posts: 81 Re: A club collected exactly$599 from its members. If each  [#permalink]

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10 Oct 2017, 00:07
Though I got the answer right but I wanted to understand the statement in the problem. When questions each member contributed at least 12$then how come one member could contribute 11 dollar? Re: A club collected exactly$599 from its members. If each &nbs [#permalink] 10 Oct 2017, 00:07
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