Question

The ratio of science and arts students in a college is 4 : 3. If 14 science students shift to arts, then their ratio becomes 1 : 1 . Find the total strength of science and arts students.

Answer 1

Ratio of Science and Arts  students = 4:3

Say, the ratio constant is Z, so that the ratio = 4Z:3Z

Given, 14 Science students shifted to Arts

=> (4Z - 14) : (3Z + 14) = 1 :1

=> Z = 28

Total Students = 4Z + 3Z = 196