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Of the 75 houses in a certain community, 48 have a patio.

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Manager
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Of the 75 houses in a certain community, 48 have a patio.  [#permalink]

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New post 16 Jun 2006, 22:48
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Of the 75 houses in a certain community, 48 have a patio. How many of the house in the community have a swimming pool?

C1. 38 of the houses in the community have a patio but do not have a swimming pool.

C2. The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimminng pool or a patio.

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Director
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New post 16 Jun 2006, 22:59
1
B

#1. We get -

75 = 48 + (swimming pools) - 10 (both patio/swimming pool) + (no patio/swimming pool)
Not sufficient.

#2. We get -

75 = 48 + (swimming pools) - (both patio/swimming pool) + (no patio/swimming pool)
=> 75 = 48 + (swimming pools); since (both patio/swimming pool) = (no patio/swimming pool)
=> swimming pools = 27
Manager
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New post 17 Jun 2006, 17:15
paddyboy wrote:
B

#1. We get -

75 = 48 + (swimming pools) - 10 (both patio/swimming pool) + (no patio/swimming pool)
Not sufficient.

#2. We get -

75 = 48 + (swimming pools) - (both patio/swimming pool) + (no patio/swimming pool)
=> 75 = 48 + (swimming pools); since (both patio/swimming pool) = (no patio/swimming pool)=> swimming pools = 27


a = only patio
b = both
c = pool
x = neither

Given:
75 = a + c + x - b
a + b = 48

C1. a = 38, b = 10
75 = 48 - 10 + c - x

C2. b = x
75 = a + c
a + b = 48

so we they say that 48 houses have a patio, it can be represented as a = 48 not a + b = 48.
Director
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New post 17 Jun 2006, 22:21
Nope... a = 48 (Set theory; Union formula)

a = all houses that have patio
b = houses that have both
c = all houses that have swimming pool
x = houses that have neither

--== Message from the GMAT Club Team ==--

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This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Of the 75 houses in a certain community, 48 have a patio.  [#permalink]

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New post 30 Sep 2018, 19:04
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the 75 houses in a certain community, 48 have a patio. &nbs [#permalink] 30 Sep 2018, 19:04
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