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According to the results of a survey by Lake Enthusiast Magazine, 25%
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Bunuel
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According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  19 May 2021, 18:00
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According to the results of a survey by Lake Enthusiast Magazine, 25% of subscribers own a boat, and 30% of subscribers own a canoe. If 46% of subscribers own either a boat or a canoe, then what percent of those subscribers who own a canoe do not own a boat?

A. 9%

B. 16%

C. 21%

D. 64%

E. 70%
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Attempt only this question Same topic and source Same topic and difficulty Same source and difficulty Random Chronological Reverse chronological Learn more
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KakashiSensei
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  05 Jun 2021, 08:44
subscribers own a boat = 25%
subscribers who own a canoe = 30%
Total =55%
but, subscribers own either a boat or a canoe = 46%
Hence subscribers own both a boat and a canoe = 55-46=9%
Now,
percent of those subscribers who own a canoe do not own a boat = \(\frac{(30-9)}{30}\)*100
=70%
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  06 Jun 2021, 00:52
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(B U C) = (B) + (C) + B ⋂ C

=> 46 = 25 + 30 - B ⋂ C

=> B ⋂ C = 25 + 30 - 46 = 9

=> Only canoe: 30 - 9 = 21

Percent of those subscribers who own a canoe does not own a boat: \(\frac{21}{30} * 100= 70%\)

Answer E
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ZulfiquarA
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  13 Jun 2021, 10:23
why would take the percentage out of 30 and not 100
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zanto
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  15 Jun 2021, 12:44
Is there a way to do this problem using the 2 set matrix?
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  15 Jun 2021, 21:27
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Total - Neither = Boat + Canoe - Both

=> 46 = 25 + 30 - Both

=> Both = 55 - 46 = 9

=> Only Canoe : 30 - 9 = 21

=> Percent of those subscribers who own a canoe does not own a boat: \(\frac{21}{30} * 100 = 70%\)

Answer E
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amit9424444
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink] New post  19 Jun 2021, 02:55
why at the end we took % from 30 not 100.
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Re: According to the results of a survey by Lake Enthusiast Magazine, 25% [#permalink]
19 Jun 2021, 02:55
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