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by Ozlemg » Mon Jul 04, 2011 9:08 am
10% of the students in the graduating class study French but not Japanese. 50% of the students who study Japanese also study French. If 40% of the students in the graduating class study French, what percentage of students in the graduating class study Japanese?

20%
30%
40%
50%
60%

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by Frankenstein » Mon Jul 04, 2011 9:13 am
Hi,
Let the total number of students be 100
n(Only F) = 10
Let x students study Japanese(J).
n(J)=x
Given that(J and F)=x/2.
So, n(F) = n(only F)+n(J and F) = 40
So, 10+(x/2) = 40 => x= 60

Hence, E
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by amit2k9 » Mon Jul 04, 2011 9:54 am
using table -

----J----J!
F--0.5x--10-------- 40

F!--0.5x------------60

----x----100-x --- 100

0.5x + 10 = 40

x = 60.
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