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A marketing company doing a survey at a local nightspot asked 44 drink

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Bunuel
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A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   22 Mar 2017, 03:41
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A marketing company doing a survey at a local nightspot asked 44 drinkers about their alcohol preferences. 10 people said they drink only wine, while 4 people said they only drink wine and hard liquor. One-fourth of all the people said they only drink beer, and there was no one that said they only drink beer and wine. If two people each said they drink either all three types of beverage or only liquor and the rest of the people drink only beer and liquor, how many people said they drink don't drink wine?

A. 34
B. 28
C. 23
D. 20
E. 11
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B
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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   22 Mar 2017, 05:14
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Answer should be B: 28

Approach:
Out of 44 people- "10 people said they drink only wine", "while 4 people said they only drink wine and hard liquor.", "and there was no one that said they only drink beer and wine", "two people each said they drink either all three types of beverage or only liquor".

SO, by simple calculation,
44-10-4-0-2 = 28 people not drinking wine.

Hope this is the simplest way to get the no. of person not drinking wine. Just subtract the people who are drinking wine from the total count.

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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   23 Mar 2017, 16:52
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Bunuel wrote:
A marketing company doing a survey at a local nightspot asked 44 drinkers about their alcohol preferences. 10 people said they drink only wine, while 4 people said they only drink wine and hard liquor. One-fourth of all the people said they only drink beer, and there was no one that said they only drink beer and wine. If two people each said they drink either all three types of beverage or only liquor and the rest of the people drink only beer and liquor, how many people said they drink don't drink wine?

A. 34
B. 28
C. 23
D. 20
E. 11


To solve this problem, we need to determine the number of people who drink wine because 44 - the number of people who drink wine = the number of people who do not drink wine.

The number of people who drink wine consists of the following four subgroups:

1) People who drink wine only
2) People who drink both wine and beer (but not liquor)
3) People who drink both wine and liquor (but not beer)
4) People who drink all three types of beverages

According to the information given in the problem, we have 10, 0, 4, and 2 in each of the subgroups, respectively. Thus the number of people who don’t drink wine is:

44 - (10 + 0 + 4 + 2) = 44 - 16 = 28

Answer: B
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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   30 Sep 2019, 11:17
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Honestly I don't understand "If two people each said they drink either all three types of beverage or only liquor "
I don't understand how to represent the "either ... or".

Can you please explain?
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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   03 Oct 2019, 12:17
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Bunuel wrote:
A marketing company doing a survey at a local nightspot asked 44 drinkers about their alcohol preferences. 10 people said they drink only wine, while 4 people said they only drink wine and hard liquor. One-fourth of all the people said they only drink beer, and there was no one that said they only drink beer and wine. If two people each said they drink either all three types of beverage or only liquor and the rest of the people drink only beer and liquor, how many people said they drink don't drink wine?

A. 34
B. 28
C. 23
D. 20
E. 11


We can use the formula:

Total = #(W only) + #(L only) + #(B only) + #(W & L only) + #(W & B only) + #(L & B only) + #(W & L & B) + #(None)

44 = 10 + 2 + 11 + 4 + 0 + #(L & B only) + 2 + 0

44 = 29 + #(L & B only)

15 = #(L & B only)

The people who don’t drink wine are “L only”, “B only” and “L & B only”; so the number of them is:

2 + 11 + 15 = 28

Answer: B
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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink] New post   29 Sep 2023, 02:41
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Re: A marketing company doing a survey at a local nightspot asked 44 drink [#permalink]
29 Sep 2023, 02:41
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