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# Based on the total number of people living in all such house

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Based on the total number of people living in all such house [#permalink]  11 Oct 2018, 04:50
Expert's post
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Question Stats:

28% (00:23) correct 71% (01:25) wrong based on 7 sessions

Based on the total number of people living in all such households, which of the following is a correct ordering, from least to greatest, of 1-person households, 3-person households, and 5- person households?

(A) 1-person households, 3-person households, 5-person households
(B) 1-person households, 5-person households, 3-person households
(C) 3-person households, 1-person households, 5-person households
(D) 3-person households, 5-person households, 1-person households
(E) 5-person households, 3-person households, 1-person households
[Reveal] Spoiler: OA

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Re: Based on the total number of people living in all such house [#permalink]  06 May 2019, 01:09
I think that answer should be E) 5-person households, 3-person households, 1-person households ( since question asks from least to greatest)

Please rectify if I am wrong.
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Re: Based on the total number of people living in all such house [#permalink]  06 May 2019, 02:20
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ARIJOSHI wrote:
I think that answer should be E) 5-person households, 3-person households, 1-person households ( since question asks from least to greatest)

Please rectify if I am wrong.

"B" it is because 5 person households means there are 5 person, so the total percent should be multiplied by 5 i.e. 6.7% * 5 = total percentage of 5 person household., similarly for 3 person household
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Re: Based on the total number of people living in all such house [#permalink]  06 May 2019, 02:29
Expert's post
Approximate the total number of households as 76 million (close enough to 75,986,074).

1) One-person households are 21.6% of the total, or approximately 16.4 million. Since each such household has only one person, this represents about 16.4 million people.

2) Three-person households are 16.5% of the total, or approximately 12.5 million. Since each of these households has three people, that is about 37.5 million people.

3) Five-person households are 6.7% of the total, or approximately 5.1 million. Since each of these households has five people, that is about 25.5 million people.

Since 16.4 million < 25.5 million < 37.5 million, the correct ranking is 1-person households, 5-person households, 3-person households.

PS: this kind of questions are pretty straight, it is only a matter of calculation
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