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If 95% of the residents of Coral Estates live in private homes and 40%

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Joined: 02 Sep 2009
Posts: 44298
If 95% of the residents of Coral Estates live in private homes and 40% [#permalink]

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01 Mar 2018, 00:18
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If 95% of the residents of Coral Estates live in private homes and 40% of these live in air-conditioned homes, what percent of the residents of Coral Estates live in air-conditioned homes?

(A) 3%
(B) 3.8%
(C) 30%
(D) 38%
(E) 40%
[Reveal] Spoiler: OA

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Posts: 210
Re: If 95% of the residents of Coral Estates live in private homes and 40% [#permalink]

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01 Mar 2018, 00:30
Bunuel wrote:
If 95% of the residents of Coral Estates live in private homes and 40% of these live in air-conditioned homes, what percent of the residents of Coral Estates live in air-conditioned homes?

(A) 3%
(B) 3.8%
(C) 30%
(D) 38%
(E) 40%

Since the calculation is straightforward, we'll just do it.
This is a Precise approach.

The percent of people who live in a home that is both private and air-conditioned is 95%*40%.
Since 10% of 40% is 4$then 5% of 40% is 2%. So, 95% of 40% is (100%-5%)*40% = 40% - 2% = 38% (D) is our answer. Important note: To answer the question we had to assume that only people in private homes have air-conditioning, otherwise our number could be higher. _________________ David Senior tutor at examPAL Signup for a free GMAT course We won some awards: Join our next webinar (free) Save up to$250 on examPAL packages (special for GMAT Club members)

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Joined: 22 May 2016
Posts: 1419
If 95% of the residents of Coral Estates live in private homes and 40% [#permalink]

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01 Mar 2018, 19:44
Bunuel wrote:
If 95% of the residents of Coral Estates live in private homes and 40% of these live in air-conditioned homes, what percent of the residents of Coral Estates live in air-conditioned homes?

(A) 3%
(B) 3.8%
(C) 30%
(D) 38%
(E) 40%

Assume 100 people. 95% of them live in private homes.

(.95)(100) = 95 people who live in private homes

And 40 percent of these people (the 95) have AC.

$$(\frac{4}{10}*95)=(\frac{2}{5}*95)=19*2= 38$$ people who both live in private homes and have AC

Those 38 are what percent of all residents? There are 100 residents.

$$(\frac{38}{100}*100)=(.38*100) = 38$$ percent

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Joined: 23 Sep 2016
Posts: 208
Re: If 95% of the residents of Coral Estates live in private homes and 40% [#permalink]

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03 Mar 2018, 00:21
Bunuel wrote:
If 95% of the residents of Coral Estates live in private homes and 40% of these live in air-conditioned homes, what percent of the residents of Coral Estates live in air-conditioned homes?

(A) 3%
(B) 3.8%
(C) 30%
(D) 38%
(E) 40%

IMO D
l will explain through table attached bellow:-
Attachments

Screenshot (81).png [ 112.47 KiB | Viewed 64 times ]

Re: If 95% of the residents of Coral Estates live in private homes and 40%   [#permalink] 03 Mar 2018, 00:21
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