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# If every donor to a charity drive contributed at least $14  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: GMAT Club Legend Joined: 07 Jun 2014 Posts: 4720 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 91 Kudos [?]: 1622 [0], given: 385 If every donor to a charity drive contributed at least$14 [#permalink]  27 May 2018, 03:54
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Question Stats:

0% (00:00) correct 100% (00:00) wrong based on 2 sessions
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
[Reveal] Spoiler: OA

_________________

Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

Re: If every donor to a charity drive contributed at least $14 [#permalink] 27 May 2018, 13:06 Expert's post 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. _________________ Sandy If you found this post useful, please let me know by pressing the Kudos Button Try our free Online GRE Test Re: If every donor to a charity drive contributed at least$14   [#permalink] 27 May 2018, 13:06
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