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It has been calculated that exactly 65% of the residents in the town

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It has been calculated that exactly 65% of the residents in the town [#permalink]

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New post 29 Aug 2017, 23:40
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It has been calculated that exactly 65% of the residents in the town of Lakeview have a college degree. What is the least number of residents of Lakeview who do not have a college degree?

A. 5
B. 7
C. 20
D. 35
E. 65
[Reveal] Spoiler: OA

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Re: It has been calculated that exactly 65% of the residents in the town [#permalink]

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New post 30 Aug 2017, 00:24
I think it's B. because 7 can be 35% of something by remaining an integer

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Re: It has been calculated that exactly 65% of the residents in the town [#permalink]

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New post 30 Aug 2017, 00:45
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Bunuel wrote:
It has been calculated that exactly 65% of the residents in the town of Lakeview have a college degree. What is the least number of residents of Lakeview who do not have a college degree?

A. 5
B. 7
C. 20
D. 35
E. 65


Assuming Number of residents to be 100
Number of residents without a degree will be 100-65 (Given 65% hold a degree)

Ratio of degree to non degree will be 65:35
Simplifying the above gives us 13:7

Since number of humans cant be decimals hence minimum number of non degree holders will be B.7

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Re: It has been calculated that exactly 65% of the residents in the town [#permalink]

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New post 02 Sep 2017, 07:16
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Expert's post
Bunuel wrote:
It has been calculated that exactly 65% of the residents in the town of Lakeview have a college degree. What is the least number of residents of Lakeview who do not have a college degree?

A. 5
B. 7
C. 20
D. 35
E. 65


Since exactly 65% of the residents in the town of Lakeview have a college degree, 65/100 = 13/20 of the residents have a college degree. From 13/20, the reduced fractional equivalent of 65/100, we see that the least number of residents in Lakeview is 20, and 13 of them have a college degree; thus, at least 20 - 13 = 7 of them do not have a college degree.

Answer: B
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It has been calculated that exactly 65% of the residents in the town [#permalink]

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New post 04 Sep 2017, 03:47
set a proportion, in which x is total population and c is what we are looking for
0,35x = c
0.65x = x - 0.35 x

0,35x*(x-0.35x)=0.65x*c --> 7*(x-0.35x)=13*c --> c must be a multiple of 7.

answer is b

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It has been calculated that exactly 65% of the residents in the town   [#permalink] 04 Sep 2017, 03:47
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