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# Do at least 60 percent of the students in Pat’s class walk to school?

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Math Expert
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Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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21 Oct 2015, 21:43
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Do at least 60 percent of the students in Pat’s class walk to school?

(1) At least 60 percent of the female students in Pat’s class walk to school.
(2) The number of students in Pat’s class who walk to school is twice the number of students who do not walk to school.

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[Reveal] Spoiler: OA

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Re: Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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21 Oct 2015, 22:48
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1. We don't have information of the composition of the class i.e what percentage of males and females.
Not sufficient

2.
Let x= number of students who don't walk to school
=> 2x= number of students who walk to school
% of students who walk to school = 2x/3x*100 %
= (2/3)*100%
=66.67 %

Sufficient

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Re: Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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23 Oct 2015, 00:30
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Bunuel wrote:
Do at least 60 percent of the students in Pat’s class walk to school?

(1) At least 60 percent of the female students in Pat’s class walk to school.
(2) The number of students in Pat’s class who walk to school is twice the number of students who do not walk to school.

Kudos for a correct solution.

Let there be 100 students. The questions asks if at least 60 of those walk to school.

1) Clearly insufficient, since we have no information about Male/Female Ratio or whatsoever.
2) Tells us that the ratio is 2:1. So from every 3, 2 walk to school which is >66% --> Sufficient.

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Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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22 Jun 2016, 15:48
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(1)
Is unsufficient, we don´t know the percent of how many male students in Pat´s class walk to school.
(2)
x: number of students in Pat´s class that don´t walk to school.
2x: number of students in Pat´s class that walk to school
3x: The total number of students in Pat´s class (x+2x=3x)

I took this approach based on the probability of an event formula:

% of students who walk to school: $$\frac{2x(desired outcome)}{3x(possible outcomes)}$$$$(100)$$%

I couldn´t understand well at first why we had $$\frac{2x}{3x}$$, relating it to that formula was my way of understanding it, please let me know if its misleading or if there´s a better way to represent the idea.

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Re: Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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10 Dec 2016, 15:02
Hope the illustration makes sense
Attachments

BG.PNG [ 12.14 KiB | Viewed 3777 times ]

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Re: Do at least 60 percent of the students in Pat’s class walk to school? [#permalink]

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20 Dec 2017, 07:53
Bunuel wrote:
Do at least 60 percent of the students in Pat’s class walk to school?

(1) At least 60 percent of the female students in Pat’s class walk to school.
(2) The number of students in Pat’s class who walk to school is twice the number of students who do not walk to school.

We need to determine whether at least 60 percent of the students in Pat’s class walk to school.

Statement One Alone:

At least 60 percent of the female students in Pat’s class walk to school.

We do not know how many male and female students are in Pat’s class, nor do we know the percentage of male students who walk to school. Thus, statement one is not sufficient to answer the question.

Statement Two Alone:

The number of students in Pat’s class who walk to school is twice the number of students who do not walk to school.

If we let n = the number of students who do not walk to school, then the number of students who do walk to school is 2n. Furthermore, the total number of students can be represented by n + 2n = 3n. Thus, the percentage of students who walk to school is:

(2n)/(3n) x 100% = 2/3 x 100% = 66.7%

Statement two is sufficient to answer the question.

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Re: Do at least 60 percent of the students in Pat’s class walk to school?   [#permalink] 20 Dec 2017, 07:53
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