300 students participated in a symposium with 3 conferences in sequence.

Half of the students that attended the first conference, attended neither the other two.

One-third of the students that attended the second conference, attended neither the other two.

And one-fourth of the students that attended the third conference, attended neither the other two.

Knowing that the three conferences were attended by the same number of students, and that each of the 300 students attended at least one conference :

a) how many students attended each conference ?
b) how many students attended only one conference ?
c) how many students attended only two conferences ?
d) how many students attended all 3 conferences ?

One unique solution !

(In reply to Answer by Timothy Bard)

Just for curiosity :

1) Why A, B and C ? (I mean, why not X, Y and Z, ...?)

2) Could you detail your answer ?

 

Posted by pcbouhid on 2005-05-11 20:47:03