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# 31 of the scientists that attended a certain workshop were Wolf Prize

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Math Expert
Joined: 02 Sep 2009
Posts: 61301
31 of the scientists that attended a certain workshop were Wolf Prize  [#permalink]

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25 Nov 2019, 23:34
00:00

Difficulty:

35% (medium)

Question Stats:

82% (02:30) correct 18% (03:49) wrong based on 11 sessions

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31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 13 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?

(A) 11
(B) 18
(C) 24
(D) 29
(D) 36

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Re: 31 of the scientists that attended a certain workshop were Wolf Prize  [#permalink]

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26 Nov 2019, 01:43
2x2 matrix

---noble--n noble---total
Wo--13----18-------31
nwo--3+x---x-------19
total--16+x--18+x---50
solve for x= 8
so noble winners = 16+8 ; 24
IMO C

Bunuel wrote:
31 of the scientists that attended a certain workshop were Wolf Prize laureates, and 13 of these 31 were also Nobel Prize laureates. Of the scientists that attended that workshop and had not received the Wolf prize, the number of scientists that had received the Nobel Prize was 3 greater than the number of scientists that had not received the Nobel Prize. If 50 of the scientists attended that workshop, how many of them were Nobel Prize laureates?

(A) 11
(B) 18
(C) 24
(D) 29
(D) 36

Are You Up For the Challenge: 700 Level Questions
Re: 31 of the scientists that attended a certain workshop were Wolf Prize   [#permalink] 26 Nov 2019, 01:43
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