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

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(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

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