George,
Here's my solution
The question basically gives us the split which then translates to
Female: Male = 360:180
Teachers: Administrators = 405:135
Since 1/3 of the admin were male, that makes it 45, thereby making 90 of the admin female.
Since we know the total females were 360, then 270 females were teachers.
Administrators and teachers
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anuprajan5
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Anup
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Anup
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GMATGuruNY
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There were twice as many females as males.
Thus, F:M = 2:1.
Since 2+1 = 3, and the total number of people = 540, the multiplier for the ratio = 540/3 = 180:
F:M = 180(2:1) = 360:180.
There were 3 times as many administrators as teachers.
Thus, T:A = 3:1.
Since 3+1 = 4, and the total number of people = 540, the multiplier for the ratio = 540/4 = 135:
T:A = 135(3:1) = 405:135.
Since 1/3 of the administrators are male, the number of male administrators = (1/3)(135) = 45.
Plug all of these known values into a GROUP GRID and complete the grid so that each row/column adds up to the TOTAL for that row/column:
The correct answer is D.
Thus, F:M = 2:1.
Since 2+1 = 3, and the total number of people = 540, the multiplier for the ratio = 540/3 = 180:
F:M = 180(2:1) = 360:180.
There were 3 times as many administrators as teachers.
Thus, T:A = 3:1.
Since 3+1 = 4, and the total number of people = 540, the multiplier for the ratio = 540/4 = 135:
T:A = 135(3:1) = 405:135.
Since 1/3 of the administrators are male, the number of male administrators = (1/3)(135) = 45.
Plug all of these known values into a GROUP GRID and complete the grid so that each row/column adds up to the TOTAL for that row/column:
Female teachers = 270.__________________F______M________Total
A:_______________90______45_________135
T:______________270______135________405
total:___________360______180_________540
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
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