A certain collage has total of 450 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter 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?  Choose the correct option
A) 130
B) 80
C) 75
D) 60
E) 50
Answer is A.   Six majors are as follows: a + b + c + d + e + f   Each has at least 20 seniors: 20 + 20 + 20 + 20 + 20 + 20   4 of the majors have 300 seniors: a + b + c +d = 300   There are a total of 450 seniors.   So e + f = 150. One of the subjects has to be 20 for the other to be maximized. If e = 20, then f = 130.   130
<result>A</result>
A certain collage has total of 450 seniors each majoring in exactly one of six subjects. A minimum of 20 seniors major in each six subjects. If three quarter 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?