If 3a = 11b and b = 2c, find the ratio of

(a) a : b,

(b) a : b : c.

(a) a : b = 11 : 3

(b) a : b : c = 22 : 6 : 3

Step-by-step explanation:

(a) Dividing the given equation by 3b, we get ...

(3a) / (3b) = (11b) / (3b)

a/b = 11/3

a : b = 11 : 3

__

(b) We are given b = 2c, so c = b/2. Then we have the ratio ...

a : b : c = 11 : 3 : 3/2

We can clear the fraction by multiplying by 2:

a : b : c = 22 : 6 : 3