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

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
On a recent Sunday, 70% of local residents reported going to the beach  [#permalink]

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15 Apr 2018, 09:02
00:00

Difficulty:

15% (low)

Question Stats:

87% (01:04) correct 13% (01:04) wrong based on 86 sessions

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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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16 Apr 2018, 00:51
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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16 Apr 2018, 18:05
1
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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16 Apr 2018, 22:57
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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19 Apr 2018, 16:59
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, 16:59
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# On a recent Sunday, 70% of local residents reported going to the beach

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