Question

The ratio of science and arts students in a college is 4:3. if 14 science students shifted to arts, then their ratio become 1:1, find total strength of science and arts students.

Answer 1

Answer:

196

Step-by-step explanation:

Let number of science students = S

and number of arts students = A

Given ratio of science and arts students ,S/A = 4/3,-------(1)

if 14 science students shifted to arts,S-14 / A +14 = 1-----(2)

Solving (1) and (2) , we get S = 112, A = 84

Total strength = S + A = 196.

Answer 2

Answer:

science students=88

arts students=126

Step-by-step explanation:

so,

Let the number of science students be 4x

Let the number of arts students be 3x

Since its given that 14 science students shifted to arts,

It will be 4x-14

And the science section gained 14 more students so,

It will be 3x+14

Thus,

4x-14=3x+14

=    x=22

So,science=4x22=88

And arts will be=3x22