Question

b is two thirds of c. 5a = 4c Work out the ratio a : b : c Give your answer in its simplest form where a, b and c are integers.

Answer 1

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Answer:

a : b : c = 12 : 10 : 15

Explanation:

Given:

5a = 4c

b = (2/3)c

Find:

a : b : c

Solution:

In terms of c, we have ...

a = 4/5c

b = 2/3c

Using a common denominator, these are ...

a = 12/15c ⇒ a/12 = c/15

b = 10/15c ⇒ b/10 = c/15

So, we can write ...

a/12 = b/10 = c/15

If all of these ratios are 1, then the ratios of a : b : c are ...

a : b : c = 12 : 10 : 15