A certain college has a total of 400 seniors, each majoring in exactly one of six subjects. A minimum of 20 seniors major in each of the six subjects. If three-quarters 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?
+1224 3/4 * 400 = 300 seniors major in four subjects, leaving 100 seniors for the other two subjects. We can allocate 100 - 40 = 60 seniors to any of the last two subjects, since a minimum of 20 seniors major in each subject.
That leaves 20 + 60 = 80 seniors in one subject and 20 seniors in the other.
