There are 900 students in a college, categorized into groups A, B, and C. The ratio of students in only A, only B, and only C is 2 : 3 : 5 2 : 3 : 5 2...
Question
There are 900 students in a college, categorized into groups A, B, and C. The ratio of students in only A, only B, and only C is respectively. The number of students in all three categories is 50% of the number of students in only C. The sum of students who are in only B and C but not A, and those who are in only A and C but not B is 155. The number of students in A and B but not C is 30 less than the number of students in only B.
Find the difference between the total number of students in all three categories and the total number of students in category A.