Question

If A : B = 4 : 5 and B : C = 3 : 2, find A : B : C.

Answer 1

12 : 15 : 10

Explanation:

Let A = 4x, the B = 5x

Let B = 3y, then C = 2y

B = 5x = 3y, so y = (5/3)x

Let x = 3t, so y = 5t

Then A = 4x = 4(3t) = 12t

B = 5x = 5(3t) = 15t

C = 2y = 2(5t) = 10t

so A : B : C = 12t : 15t : 10t = 12 : 15 : 10