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
A. 43
B. 44
C. 49
D. 50
E. 51
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A club collected exactly ...........
Source: Beat The GMAT — Problem Solving |
We need to calculate the maximum number of members, this will happen if the contribution per member is $12. Thus if the collection was $600 we could have exactly 50 members, but it is $499 thus the number has to be less than 50, can 49 people given enough to make $599. Yes ..........
Thus the answer is 49.
Yes there are the usual arithmetic methods of solving this, i like this approach since it is logical (I like Spock
Cheers
Thus the answer is 49.
Yes there are the usual arithmetic methods of solving this, i like this approach since it is logical (I like Spock
Cheers
Call me 1 - (412) 897 6727 (US) or leave a msg on BTG for GMAT advise / questions.
If you like the solution, check out my debrief at and leave a comment:
https://www.beatthegmat.com/760-done-dea ... 66740.html
If you like the solution, check out my debrief at and leave a comment:
https://www.beatthegmat.com/760-done-dea ... 66740.html
thank you.....is there any way to solve this type of problems...mj78ind wrote:We need to calculate the maximum number of members, this will happen if the contribution per member is $12. Thus if the collection was $600 we could have exactly 50 members, but it is $499 thus the number has to be less than 50, can 49 people given enough to make $599. Yes ..........
Thus the answer is 49.
Yes there are the usual arithmetic methods of solving this, i like this approach since it is logical (I like Spock
Cheers
Well, here's a tip:thank you.....is there any way to solve this type of problems...
In questions that ask you to maximize something (such as this question), you should usually minimize everything else. (And, in questions that ask you to minimize something, you should usually maximize everything else).
In this question, we want the greatest number of members. So, we should minimize the amount that each member spends.
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thank you....Testluv wrote:Well, here's a tip:thank you.....is there any way to solve this type of problems...
In questions that ask you to maximize something (such as this question), you should usually minimize everything else. (And, in questions that ask you to minimize something, you should usually maximize everything else).
In this question, we want the greatest number of members. So, we should minimize the amount that each member spends.
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Let's first divide= 599 by 12 (the minimum amount each member could contribute) and then use the remainder to finish the problem.pzazz12 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
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: C
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