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If every donor to a charity drive contributed at least $14
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27 May 2018, 03:54
27 May 2018, 03:54
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Question Stats:
74% (00:44) correct
26% (00:53) wrong based on 50 sessions
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If every donor to a charity drive contributed at least $14 and $237 was collected, what is the maximum number of donors?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Re: If every donor to a charity drive contributed at least $14
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27 May 2018, 13:06
27 May 2018, 13:06
Expert Reply
Explanation
This is a maximization question. To solve maximization questions, you often have to minimize something else. In order to find the maximum number of donors, minimize the donation per person. In this case, everyone could pay exactly $14:
\(\frac{237}{14} = 16.92\)
Rounding up to 17 is not right, because it is not possible that 17 people donated $14 each (the total contributions would be $238, which is greater than $237). The answer is (D), or 16.
This is a maximization question. To solve maximization questions, you often have to minimize something else. In order to find the maximum number of donors, minimize the donation per person. In this case, everyone could pay exactly $14:
\(\frac{237}{14} = 16.92\)
Rounding up to 17 is not right, because it is not possible that 17 people donated $14 each (the total contributions would be $238, which is greater than $237). The answer is (D), or 16.
Re: If every donor to a charity drive contributed at least $14
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05 Jul 2021, 02:53
05 Jul 2021, 02:53
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
