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 1/2 of the juniors is equal to 2/3 of the seniors, what fraction of the students in the room are juniors? Choose the correct choice from the following
A) 4/7  B) 1/3  C) 5/3  D) 12/7  E) 17/20
Let total number of juniors= J   total number of seniors =S   (1/2) J = (2/3) S   =&gt; S = 3/4 J   Total number of students = J+S = (7/4) J   Fraction of the students in the room are juniors = J/(J+S) = J/[(7/4) J]   =4/7   4/7nswer 4/7
<result>A</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 1/2 of the juniors is equal to 2/3 of the seniors, what fraction of the students in the room are juniors?