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# Of the 1,400 college teachers surveyed, 42 percent said that

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Joined: 08 Aug 2006
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Of the 1,400 college teachers surveyed, 42 percent said that [#permalink]

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08 Oct 2006, 06:36
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85% (hard)

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44% (02:25) correct 56% (01:04) wrong based on 185 sessions

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Of the 1400 college teachers surveyed, 42% said that they considered enaggin in research an essential goal. How many college teachers surveyed were women?

(1) In the survey 36% of the men and 50% of the women said that they considered engaging in research an essential goal
(2) In the survey, 288 men said that they considered engaging in research an essential goal

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-1400-college-teachers-surveyed-42-said-they-consid-92076.html
[Reveal] Spoiler: OA
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08 Oct 2006, 06:42
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Of the 1,400 college teachers surveyed, 42 percent said that they considered engaging in research an essential goal. How many of the college teachers surveyed were women?

(1) In the survey, 36 percent of the men and 50 percent of the women said that they considered engaging in research an essential goal.

(2) In the survey, 288 men said that they they considered engaging in research an essential goal.

1400 = M+F , OF WHICH 588 CONSIDERED RESEARH ESSENTIAL

FROM ONE

.36M + .5(1400 - M) = 588..........SUFF

FROM TWO

288 MEN ( OUT OF .............M SYRVEYED)..INSUFF

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Re: Of the 1,400 college teachers surveyed, 42 percent said that [#permalink]

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03 Jan 2014, 15:22
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Re: Of the 1,400 college teachers surveyed, 42 percent said that [#permalink]

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04 Jan 2014, 06:18
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Of the 1400 college teachers surveyed, 42% said they considered engaging in research an essential goal. How many of the college teacher surveyed were women?

(1) In the survey 36% of men and 50% of women said that they consider engaging in research activity an essential goal.
(2) In the survey 288 men said that they consider engaging in research activity an essential goal.

(1) $$m+w=1400$$ and $$1400*0.42=0.36*m+0.5*w$$. Two unknowns two equations. Sufficient.
(2) From this we can calculate only that $$1400*0.42-288=300$$ women consider engaging in research activity an essential goal. No other info. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-1400-college-teachers-surveyed-42-said-they-consid-92076.html
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Re: Of the 1,400 college teachers surveyed, 42 percent said that   [#permalink] 04 Jan 2014, 06:18
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