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# A survey of 1.2 million homes reported that 650,000 had fewer than 2

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A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 10:36
00:00

Difficulty:

55% (hard)

Question Stats:

74% (02:37) correct 26% (02:25) wrong based on 62 sessions

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A survey of 1.2 million homes reported that 650,000 had fewer than 2 children. In homes with 2 or more children, 280,000 of them did not have a separate bedroom for each child. If 400,000 homes in the survey had a separate bedroom for each child, what percent of the homes with fewer than 2 children had a separate bedroom for each child?

A. 11%
B. 20%
C. 25%
D. 52%
E. 80%

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A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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Updated on: 22 Mar 2017, 11:42
2

Detailed Solution attached
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Originally posted by quantumliner on 22 Mar 2017, 10:54.
Last edited by quantumliner on 22 Mar 2017, 11:42, edited 1 time in total.
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 11:22
3
quantumliner wrote:

Detailed Solution attached

Quantumliner, Bud you seem to have taken the total wrong. Its 1.2M but you have taken it 1M by mistake.

Therefore, the correct answer is A 11%

130000*100/1200000

Attached is the calculation.

Hope it helps
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 11:48
Salv Thanks Buddy for pointing out.

But wanted to point out onething. I think, the question asks for the the Percent of the homes with fewer than 2 children had a separate bedroom for each child - So the Total would be 650,000, which is the total number of homes with fewer than two children.

else it could have asked, What percent of homes have fewer than two children and had a separate bedroom for each child?

Just my thought. I may be wrong.mikemcgarry, could you please share your thoughts.
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 12:00
1
quantumliner wrote:
Salv Thanks Buddy for pointing out.

But wanted to point out onething. I think, the question asks for the the Percent of the homes with fewer than 2 children had a separate bedroom for each child - So the Total would be 650,000, which is the total number of homes with fewer than two children.

else it could have asked, What percent of homes have fewer than two children and had a separate bedroom for each child?

Just my thought. I may be wrong.mikemcgarry, could you please share your thoughts.

Dear quantumliner,

I'm happy to respond. Yes, you are perfectly correct. The way the prompt phrase the question implies that the "whole" is 650,000, the all the houses with fewer than two children.

As a general rule, in the question "What percent of A had/was X?", the A part, which is everything before the verb, is the "whole" and the X part, everything after the verb, is the "part."

Does all this make sense?
Mike
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 12:18
Thanks mikemcgarry, makes sense.
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A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 21:34
quantumliner wrote:

Detailed Solution attached

Yes, based on the wording I also arrived at answer B. This is a 600 level question so I'm guessing there's often a non obvious inference we have to draw from the question/ stimulus- in this particular question it's what percentage of children have a separate bed OUT of the families who have ONLY fewer than 2 children.
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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22 Mar 2017, 22:12
Thanks Buddy for pointing out.

But wanted to point out onething. I think, the question asks for the the Percent of the homes with fewer than 2 children had a separate bedroom for each child - So the Total would be 650,000, which is the total number of homes with fewer than two children.

else it could have asked, What percent of homes have fewer than two children and had a separate bedroom for each child?

quantumliner ahh i see now. Thanks for pointing that out bud. the correct answer is B.
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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2  [#permalink]

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27 Mar 2017, 11:56
Bunuel wrote:
A survey of 1.2 million homes reported that 650,000 had fewer than 2 children. In homes with 2 or more children, 280,000 of them did not have a separate bedroom for each child. If 400,000 homes in the survey had a separate bedroom for each child, what percent of the homes with fewer than 2 children had a separate bedroom for each child?

A. 11%
B. 20%
C. 25%
D. 52%
E. 80%

We are given that a survey of 1.2 million homes reported that 650,000 homes had fewer than 2 children; thus, 550,000 had 2 or more children.

We are also given that in homes with 2 or more children, 280,000 of the homes did not have a separate bedroom for each child; thus, 550,000 - 280,000 = 270,000 had a separate bedroom for each child.

Finally, we are given that 400,000 homes had a separate bedroom for each child; thus, 400,000 - 270,000 = 130,000 of the homes with fewer than 2 children had a separate bedroom for each child.

Thus, the percentage of the homes with fewer than 2 children that had a separate bedroom for each child is:

130,000/650,000 = 13/65 = 1/5 = 20%.

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Re: A survey of 1.2 million homes reported that 650,000 had fewer than 2 &nbs [#permalink] 27 Mar 2017, 11:56
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