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by sanju09 » Sat Jun 19, 2010 3:30 am
At a high school, where each student takes one foreign language only, 3/8 of the students take French and 1/5 of the remaining students take German. If all the other students study Italian, what percent of all students take Italian?
(A) 10
(B) 30
(C) 40
(D) 50
(E) 80
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Source: — Problem Solving |

by amising6 » Sat Jun 19, 2010 3:37 am
sanju09 wrote:At a high school, where each student takes one foreign language only, 3/8 of the students take French and 1/5 of the remaining students take German. If all the other students study Italian, what percent of all students take Italian?
(A) 10
(B) 30
(C) 40
(D) 50
(E) 80
let number of student be x
so french learning student 3/8 of x=3x/8
remaining student x-3x/8=5x/8
1/5 of 5x/8(remaining learn german) i.e 1/5*5x/8=x/8
remaining student learn italian i.e x-4x/8=4x/8
% of student (4x/8)/x*100=50% italian leaning student
Ideation without execution is delusion
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