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A brewery has a total of 96 beers. Of these, 65 are light beers, and 4

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Math Expert
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A brewery has a total of 96 beers. Of these, 65 are light beers, and 4  [#permalink]

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New post 06 Apr 2016, 02:06
1
6
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (02:45) correct 21% (03:04) wrong based on 152 sessions

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A brewery has a total of 96 beers. Of these, 65 are light beers, and 40 are organic beers. If the brewery has 2x beers that are organic and light, y beers that are organic but not light, and x beers that are not organic and not light, how many beers at the brewery are organic but not light?

A. 56
B. 47
C. 22
D. 11
E. 9

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Re: A brewery has a total of 96 beers. Of these, 65 are light beers, and 4  [#permalink]

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New post 07 Apr 2016, 08:10
1
1
Bunuel wrote:
A brewery has a total of 96 beers. Of these, 65 are light beers, and 40 are organic beers. If the brewery has 2x beers that are organic and light, y beers that are organic but not light, and x beers that are not organic and not light, how many beers at the brewery are organic but not light?

A. 56
B. 47
C. 22
D. 11
E. 9


Another Approach--



Don't get upset with TWO variables x and y..
you don't require y anywhere in calculations


Total = T =96..
Light =L=65 and Orgainc = O =40..
Both=B=2x
None = N = x...

So L + O - B = T - N ....
65 + 40 -2x = 96 - x..
x= 9...
we are looking for ONLY Organic = O-B = 40 - 2x= 40-2*9 = 22
C
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Marshall & McDonough Moderator
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Re: A brewery has a total of 96 beers. Of these, 65 are light beers, and 4  [#permalink]

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New post 07 Apr 2016, 07:40
2
Light Beer = 65
Organic Beer = 40
Both = 2x
Neither = x
Organic Beer but not light = Organic only = y

Organic only = 40 - 2x = even. Options B, D and E can be eliminated.
Answer has to be either 56 or 22.

But, total organic beer including a mix of light beer = 40. So 56 cannot be the answer. Eliminate option A.

We do not require any sort of calculation for this question.

Answer: C
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Re: A brewery has a total of 96 beers. Of these, 65 are light beers, and 4  [#permalink]

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New post 31 Aug 2018, 09:54
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Re: A brewery has a total of 96 beers. Of these, 65 are light beers, and 4   [#permalink] 31 Aug 2018, 09:54
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