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A club collected exactly $599 from its members. If each

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A club collected exactly $599 from its members. If each [#permalink] New post   Updated on: 26 Sep 2012, 12:08
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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
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C

Originally posted by Archit143 on 26 Sep 2012, 11:34.
Last edited by Bunuel on 26 Sep 2012, 12:08, edited 1 time in total.
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   26 Sep 2012, 12:17
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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.
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   02 Jul 2014, 02:47
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Rounded off 599 to 600 (Its divisible of 12)

\(\frac{600}{12} = 50\)

Members should be atleast 1 less that 50

50-1 = 49

Answer = C
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   21 Jun 2016, 10:34
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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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Re: A club collected exactly $599 from its members. If each [#permalink] New post   30 May 2015, 05:41
Estimate, you don't need to divide here to get the answer:

12X<=600 --> X<=50, But we rounded up, so the real number must be <50 --> 49 (C)
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   10 Oct 2017, 01:07
Though I got the answer right but I wanted to understand the statement in the problem. When questions each member contributed at least 12$ then how come one member could contribute 11 dollar?
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   25 Feb 2020, 08:13
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


12 * 50 = 600

But we find the total contribution is < 600

So, the Maximum possible value of the no of members will be something less than 50 , in this case and going through the options only (C) seems plausible, Hence Answer must be (C)
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   02 Mar 2020, 07:01
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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


Since 599/12 = 49 R 11, the greatest number of members in the club is 49 (notice that there can’t be an extra member who contributes (the remainder) $11; the $11 dollars must be contributed from one or more of the 49 members) .

Answer: C
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Re: A club collected exactly $599 from its members. If each [#permalink] New post   17 Apr 2020, 09:48
Quote:
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

The average member=\(\frac{$599}{$12}=49.92\) (remember: number of people has to be integer). The question says: each member contributed at least $12. So, the contribution could be more than $12. If the contribution (per head) is $599, then the member (lowest) will be 1. So, the greatest member will be 49 (excluding fraction).
So, the correct choice is
Show Spoiler
C

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Re: A club collected exactly $599 from its members. If each [#permalink] New post   09 Jun 2023, 20:16
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Re: A club collected exactly $599 from its members. If each [#permalink]
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