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On a recent Sunday, 70% of local residents reported going to the beach

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On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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New post 15 Apr 2018, 10:02
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On a recent Sunday, 70% of local residents reported going to the beach, and 30% reported drinking coffee. If all coffee drinkers were also beachgoers, what percent of residents did neither?

A. 0
B. 15
C. 30
D. 40
E. 50

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Re: On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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New post 16 Apr 2018, 01:51
Bunuel wrote:
On a recent Sunday, 70% of local residents reported going to the beach, and 30% reported drinking coffee. If all coffee drinkers were also beachgoers, what percent of residents did neither?

A. 0
B. 15
C. 30
D. 40
E. 50


All Coffee drinkers are beachgoers means 30 is a subset of 70, hence ppl who do neither activity is simply 100-70= 30% ans C
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Re: On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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New post 16 Apr 2018, 19:05
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Venn Diagram Solution

Start with "both", the intersection, "all coffee drinkers were also beachgoers" - in other words, 30% for both; beachgoers = 70%, and for only beachgoers, 70%-30% = 40%. As for "neither", 1-70% = 30%. C is the answer
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Re: On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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New post 16 Apr 2018, 23:57
Bunuel wrote:
On a recent Sunday, 70% of local residents reported going to the beach, and 30% reported drinking coffee. If all coffee drinkers were also beachgoers, what percent of residents did neither?

A. 0
B. 15
C. 30
D. 40
E. 50


P(Total) = P(Going to beach) + P(Drinking Coffee) - P(Both) + P(Neither)

Assume the total number of people to be 100

\(100 = 70 + 30 - 30 + x\) -> \(100 = 70 + x\) -> \(x = 30\)

Therefore, the percent of residents which did neither is 30(Option C)
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Re: On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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New post 19 Apr 2018, 17:59
Bunuel wrote:
On a recent Sunday, 70% of local residents reported going to the beach, and 30% reported drinking coffee. If all coffee drinkers were also beachgoers, what percent of residents did neither?

A. 0
B. 15
C. 30
D. 40
E. 50


We can let the total number of residents = 100.

So 70 go to the beach, 30 drink coffee, and 30 drink coffee and go to the beach; thus:

Total = Beach + Coffee - Both + Neither

100 = 70 + 30 - 30 + neither

30 = neither

Answer: C
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Re: On a recent Sunday, 70% of local residents reported going to the beach &nbs [#permalink] 19 Apr 2018, 17:59
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On a recent Sunday, 70% of local residents reported going to the beach

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