There are four colleges [A, B, C, and D]. In each college, there are two departments [art and science]. The total number of students in college is equal to the total number of students in science and the total number of students in the arts department. The ratio of the number of students in the science and arts department of college A is 2:3. The total number of students in colleges A and B is equal. The total number of students in college C is 87.5% more than the total number of students in college B. The number of students in the arts department of college B is 500 less than the total number of students in the science department of college C. The number of students in the art department in college D is 33.33% more than the number of students in the science department of college. The total number of students in the arts department of colleges A and D is 1120. The number of students in the science department of college C is 66.66% more than the number of students in the science department of college D. The number of students in the science department of college C is 480 more than the number of students in college A.