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 2/5 of the juniors is equal to 1/3 of the seniors, what fraction of the students in the room are juniors?  Select.
A) 3/20	B) 1/3	C) 5/12	D) 12/17	E) 5/11
Let total number of juniors= J   total number of seniors =S   (2/5) J = (1/3) S   =&gt; S = 6/5 J   Total number of students = J+S = (11/5) J   Fraction of the students in the room are juniors = J/(J+S) = J/[(11/5) J]   =5/11   Answer 5/11
<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 2/5 of the juniors is equal to 1/3 of the seniors, what fraction of the students in the room are juniors?