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At least 100 students at a certain high school study

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At least 100 students at a certain high school study [#permalink] New post 13 Nov 2006, 19:28
At least 100 students at a certain high school study Japanese. If 4% of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

1) 16 students at the school study both French and Japanese.
2) 10% of the students who study Japanese also study French.
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 [#permalink] New post 14 Nov 2006, 03:07
Hmm, I am getting C.

From A: 16 = 4/100 (F) where F is the number of french students
=> number of french students = 400. Inconclusive because we only know that number of Japanese students > 100.

From B: 10/100 J = 16 where J is number of Japanese students

=> J = 160. But this by itself does not say anything abt French students.

Together however we know F > J.
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 [#permalink] New post 14 Nov 2006, 03:40
I think should be E .

from A 16 students = 4% of the students of the school. So the no. of students in the school=400.

from B we know that 10% of the students who study japanese also study french. hence 16/10%= no. of students who study japanese (i.e. 160).

But we do not know whether any students who do not study either subjects.
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 [#permalink] New post 14 Nov 2006, 04:30
At least 100 students at a certain high school study Japanese. If 4% of the students at the school who study French also study Japanese, do more students at the school study French than Japanese?

1) 16 students at the school study both French and Japanese.
2) 10% of the students who study Japanese also study French

A)

16 = 4%

1% = 4
100% = 400 students study French

At least 100 study Japanese, but this could be 200, 400, 500 etc….

Don’t know how many students there are in the school. iNSUFF

B)
At least 10 students study J & F, but we don’t know if there are 200, 400 or 500 etc ..

Since if it was 500 the 10% would be 50!

A&B)

We know that 16 students study both, which represents 10% of the Japanese students
Japanese students = 160 and French students = 400

I would for C?

Facile, non?
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 [#permalink] New post 14 Nov 2006, 06:55
i choose E because we get the same number all the time - the number of students who study both french and japanesse. we don't have the ration of french and japanesse so i choose E
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 [#permalink] New post 14 Nov 2006, 07:06
OA is B. Help! :cry:
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 [#permalink] New post 14 Nov 2006, 07:29
let's the number of students be 100 then 4 students who study french also study japanesse and from B we have 10 students who study japanesse also study french so 4 vs. 10 - french vs. japanesse. but i would choose E not B
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 [#permalink] New post 14 Nov 2006, 08:02
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Here is my approach:

<1> we all agree that one is not suff because it only provides the number of French students.
<2> 10% of students who study Japanese also study French. This number of students should be the same as the 4 % of the students who study French also study Japanese. So, we have (1/10)J = (2/50)F. This comes down to J = (2/5)F. So since J and F are positive, J must be smaller than F. Suff

Answer B
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 [#permalink] New post 14 Nov 2006, 08:30
Enola,

Yes this sounds right.

What is the OA?
  [#permalink] 14 Nov 2006, 08:30
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