Every student in a certain classroom was given a lollypop. 1/3 of the students were given a green lollypop, 1/4 of the students were given a yellow lollypop, and all of the other students were given a red lollypop. After lunch, 1/4 of the students who had green lollypops and 2/3 of the students who had yellow lollypops left the classroom; the other students did not leave. What fraction of all students have either a green or yellow lollypop?	Choose the correct choice from the following:
A) 5/9 B) 4/9 C) 2/3 D) 4/7 E) 3/5
Lets pick smart numbers. Total number of students in the classroom: 12   Green lollypop (1/3): 4   Yellow lollypop (1/4): 3   Red lollypop (5/12): 5   After lunch   Green lollypop: 3   Yellow lollypop: 1   Red lollypop: 5   New Total number of students in the classroom: 9   Green and yellow lollypops: 4   Answer 4/9 or 4/9
<result>B</result>
Every student in a certain classroom was given a lollypop. 1/3 of the students were given a green lollypop, 1/4 of the students were given a yellow lollypop, and all of the other students were given a red lollypop. After lunch, 1/4 of the students who had green lollypops and 2/3 of the students who had yellow lollypops left the classroom; the other students did not leave. What fraction of all students have either a green or yellow lollypop?