Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors?	Choose the correct option:
A) 3/20
B) 1/3
C) 5/2
D) 2/7
E) 4/5
Let total number of juniors= J   total number of seniors =S   (1/3) J = (4/3) S   =&gt; S = 1/4 J   Total number of students = J+S = (5/4) J   Fraction of the students in the room are juniors = J/(J+S) = J/[(5/4) J]   =4/5   Answer 4/5
<result>E</result>
Every student in a room is either a junior or a senior. There is at least one junior and at least one senior in the room. If 1/3 of the juniors is equal to 4/3 of the seniors, what fraction of the students in the room are juniors?