A certain college has a total of 400 seniors, each majoring in exactly one of six subjects. A minimum of 20 seniors major in each of the six subjects. If three-quarters of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
[A]100 80
[C] 60
[D] 50
[E] 20
'three-quarters of the seniors major in one of four subjects'
two different ways to understand this sentence
1.3/4 major in ONE of four subjects
2.3/4 major in one of FORE subjects
I assume the latter , meaning 300 seniors in four sujects ...
^^
agree B
3/4 in one of four subjects , leaving 1/4*400=100 in the other two subjects
since each should has more than 20 seniors
the max number of one is 80 while the other is 20
