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# A certain organization presents reward to some people...

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Intern
Joined: 04 Sep 2009
Posts: 41

Kudos [?]: 84 [3], given: 9

A certain organization presents reward to some people... [#permalink]

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15 Oct 2012, 18:37
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Difficulty:

25% (medium)

Question Stats:

75% (01:43) correct 25% (02:38) wrong based on 337 sessions

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A certain organization presents reward to some people. There are 3 kinds of reward that respectively are $125,$40, $15. If the total reward is$1,735, what is the least possible value of the number of the people who received reward?

a. 17
b. 22
c. 32
d. 47
e. 90

[Reveal] Spoiler:
A
[Reveal] Spoiler: OA

_________________

Aeros
"Why are you trying so hard to fit in when you were born to stand out?"
"Do or do not. There is no 'try'..."

Kudos [?]: 84 [3], given: 9

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 635

Kudos [?]: 672 [4], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: A certain organization presents reward to some people... [#permalink]

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15 Oct 2012, 19:55
4
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aeros232 wrote:
A certain organization presents reward to some people. There are 3 kinds of reward that respectively are $125,$40, $15. If the total reward is$1,735, what is the least possible value of the number of the people who received reward?

a. 17
b. 22
c. 32
d. 47
e. 90

[Reveal] Spoiler:
A

from question :
1735= 125A + 40B +15C
Since we have 3 variables and only other information we can infer is that each of A, B and C should be non negative integer (>=0). Hence, we need to plug in numbers to find out.
Now since the question is asking for 'least' number of rewards, best approach to start with is -finding least 'possible' number of rewards - it can happen when every award is 125. So number of reward in this case 1735/125 = 13 + some remainder. hence ans must be greater than 14.

This gives us
1735 = 13*125 + 40B +15C
or 40B + 15C =110
or 8B + 3C =22
Do we have any combination for B and C that works for this? yes.. if B=C=2.
Hence total number of rewards = A+B+C=13+2+2 = 17

same is given in A.

At this point, some observations could also be made. There could be a doubt in mind, what if A=12 and B+C <5? but note, it is not possible because for every A reduced, difference (125) is to be filled by at least 4 of Bs and Cs (40 and 15 respectively). Second, none of the answer choices is below 17.

Hence Ans A it is.
_________________

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Kudos [?]: 672 [4], given: 23

Senior Manager
Joined: 13 Aug 2012
Posts: 457

Kudos [?]: 570 [5], given: 11

Concentration: Marketing, Finance
GPA: 3.23
Re: A certain organization presents reward to some people... [#permalink]

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10 Dec 2012, 23:11
5
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5
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To get the minimum value, one must maximize the largest price: $125 $$\frac{1735}{125}=\frac{347}{25}=13rem.110$$ Note that $$13*125=1625$$ so we calculate the remaining reward $$40A + 15B = 110$$ Again to get minimum value, maximize the largest remaining reward: $$40$$ $$\frac{110}{40}=2rem.30$$ Note that $$40*2=80$$ so we calculate the remaining reward $$15B = 110 - 80 =30$$ $$\frac{30}{15}=2$$ Thus, 13 + 2 + 2 = 17 Answer: A _________________ Impossible is nothing to God. Kudos [?]: 570 [5], given: 11 Non-Human User Joined: 09 Sep 2013 Posts: 14850 Kudos [?]: 287 [0], given: 0 Re: A certain organization presents reward to some people... [#permalink] ### Show Tags 22 Jan 2015, 09:48 Hello from the GMAT Club BumpBot! Thanks to another GMAT 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. _________________ Kudos [?]: 287 [0], given: 0 Manager Joined: 23 May 2013 Posts: 189 Kudos [?]: 120 [3], given: 42 Location: United States Concentration: Technology, Healthcare Schools: Stanford '19 (M) GMAT 1: 760 Q49 V45 GPA: 3.5 Re: A certain organization presents reward to some people... [#permalink] ### Show Tags 04 Feb 2015, 09:08 3 This post received KUDOS To get the minimum number of people, we want to maximize the number of people receiving the highest award. 1735/125 = 13 remainder 110. 110/40 = 2 remainder 30. 30/15 = 2. 13 +2 +2 = 17. Kudos [?]: 120 [3], given: 42 Non-Human User Joined: 09 Sep 2013 Posts: 14850 Kudos [?]: 287 [0], given: 0 Re: A certain organization presents reward to some people... [#permalink] ### Show Tags 25 Jul 2016, 10:58 Hello from the GMAT Club BumpBot! Thanks to another GMAT 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. _________________ Kudos [?]: 287 [0], given: 0 Manager Status: Preparing Joined: 05 May 2016 Posts: 62 Kudos [?]: 12 [0], given: 150 Location: India Concentration: International Business, Finance Re: A certain organization presents reward to some people... [#permalink] ### Show Tags 02 Jul 2017, 11:16 aeros232 wrote: A certain organization presents reward to some people. There are 3 kinds of reward that respectively are$125, $40,$15. If the total reward is \$1,735, what is the least possible value of the number of the people who received reward?

a. 17
b. 22
c. 32
d. 47
e. 90

[Reveal] Spoiler:
A

Is there a way to solve this question in which i do not have to divide 1735 by 125 and then move forward towards the solution?

Kudos [?]: 12 [0], given: 150

Re: A certain organization presents reward to some people...   [#permalink] 02 Jul 2017, 11:16
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# A certain organization presents reward to some people...

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