College Teachers

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chipbmk
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Topic: College Teachers
PostTue Nov 17, 2009 11:09 pm

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Of 1400 college teachers surveyed, 42% said they considered research essential. How many teachers surveyed were women?

a. In survey 36% of men and 50% of women said they considered research essential
b. 288 men said they considered research essential


OA: A

I understand in theory why the answer is what it is, but if someone could show me proof of it (even though I know solving in DS is unnecessary), I would appreciate it!

Thanks!
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palvarez
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PostWed Nov 18, 2009 12:02 am

Set up a grid, which makes your life easier.

Two sets: Research, male

Research and not-research are complementary. Use this to name two columns or two rows.
male and female are complementary. Use this to name two rows or two colums.
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Kalvin
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PostWed Nov 18, 2009 7:27 pm

Two equations:

x=men
y=women
total=1400
research essential = 1400 * .42 = 588


Eq 1 => x + y = 1400

and

Eq 2 => .36x + .5y = 588

Solve for y
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