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by phoenix9801 » Sat Jun 02, 2012 4:53 pm
Initially, a certain school has 400% more students than professors. Twenty students transfer from the school. How many students are left at the school if there were initially 600 total students and professors at the school?

A) 500
B) 480
C) 460
D) 400
E) 200
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by Jim@StratusPrep » Sat Jun 02, 2012 5:35 pm
P + S = 600
5P = S

Solving, P = 100 and S = 500

500 - 20 = 480

B
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by Anurag@Gurome » Sat Jun 02, 2012 11:06 pm
phoenix9801 wrote:Initially, a certain school has 400% more students than professors. Twenty students transfer from the school. How many students are left at the school if there were initially 600 total students and professors at the school?
Number of students = (Number of professors + 400% of Number of professors) = (Number of professors + 4*(Number of professors)) = 5*(Number of professors)

Now, (Number of students + Number of professors) = 600
---> (5*Number of professors + Number of students) = 600
---> 6*Number of professors = 600
---> Number of professors = 100
---> Number of students = (600 - 100) = 500

Therefore, number of students after 20 of them left the school = (500 - 20) = 480

The correct answer is B.
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