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# Each first-year student at a certain school selects either

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Each first-year student at a certain school selects either [#permalink]

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29 Mar 2012, 14:59
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Each first-year student at a certain school selects either the traditional curriculum or the modern curriculum. Of the first-year students at the school, 65 percent selected the modern curriculum and the rest selected the traditional curriculum. What percent of the first-year students are female?

(1) Twice as many female first-year students selected the modern curriculum than selected the traditional curriculum.
(2) Of the first-year students who selected the traditional curriculum, 55 percent are female.
[Reveal] Spoiler: OA

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Re: Number of Female students [#permalink]

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29 Mar 2012, 15:52
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Each first-year student at a certain school selects either the traditional curriculum or the modern curriculum. Of the first-year students at the school, 65 percent selected the modern curriculum and the rest selected the traditional curriculum. What percent of the first-year students are female?

(1) Twice as many female first-year students selected the modern curriculum than selected the traditional curriculum:
Attachment:

1.png [ 5.79 KiB | Viewed 3413 times ]
Not sufficient.

(2) Of the first-year students who selected the traditional curriculum, 55 percent are female:
Attachment:

2.png [ 6.16 KiB | Viewed 3407 times ]
Not sufficient.

(1)+(2) As you can see x from (1) equals to 19.25 from (2), so 3x (percent of the female students) equals to 3*19.2557.75%. Sufficient.

Hope it's clear.
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Re: Each first-year student at a certain school selects either [#permalink]

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11 Jun 2013, 06:28
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Re: Each first-year student at a certain school selects either [#permalink]

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18 Aug 2013, 06:50
Bunuel, I approcahed the problem in the same way and got C as the answer , Although Have question.
How can the number of Female students be 19.25? It has to be a whole number isnt it? People can't be fractions.
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Re: Each first-year student at a certain school selects either [#permalink]

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18 Aug 2013, 07:00
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Bunuel, I approcahed the problem in the same way and got C as the answer , Although Have question.
How can the number of Female students be 19.25? It has to be a whole number isnt it? People can't be fractions.

enigma123 wrote:
Each first-year student at a certain school selects either the traditional curriculum or the modern curriculum. Of the first-year students at the school, 65 percent selected the modern curriculum and the rest selected the traditional curriculum. What percent of the first-year students are female?

(1) Twice as many female first-year students selected the modern curriculum than selected the traditional curriculum.
(2) Of the first-year students who selected the traditional curriculum, 55 percent are female.

The question is asking for percent. so it can be a fraction.
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Re: Each first-year student at a certain school selects either [#permalink]

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30 Jan 2014, 08:08
Just a small point for discussion,
when they say Traditional or Modern it means T +M- Both.

So T+M-Both =100
now when they say T= 65 and the rest is Modern, how are we assuming that M= 35 and Both = 0 ?

It could be T= 65, M= 45 and Both = 10 ( or any other combination that leads to a 100% )
or T= 65, M= 35, Both = 0 ( as done in the problem)

if there are no students taking both , then Both = 0 then of course the problem is easy to understand, but why and how are we assuming that B= 0, when it says T or M, which means T+M-both .

Nowhere does it state that the student cannot take both,is this common knowledge?

Thanks.
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Re: Each first-year student at a certain school selects either [#permalink]

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01 Feb 2014, 05:07
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stne wrote:
Just a small point for discussion,
when they say Traditional or Modern it means T +M- Both.

So T+M-Both =100
now when they say T= 65 and the rest is Modern, how are we assuming that M= 35 and Both = 0 ?

It could be T= 65, M= 45 and Both = 10 ( or any other combination that leads to a 100% )
or T= 65, M= 35, Both = 0 ( as done in the problem)

if there are no students taking both , then Both = 0 then of course the problem is easy to understand, but why and how are we assuming that B= 0, when it says T or M, which means T+M-both .

Nowhere does it state that the student cannot take both,is this common knowledge?

Thanks.

Yes, from "each first-year student at a certain school selects either the traditional curriculum or the modern curriculum" we can safely assume that neither of the students selects both.
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Re: Each first-year student at a certain school selects either   [#permalink] 01 Feb 2014, 05:07
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