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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.

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Answer:

  a : b : c = 12 : 10 : 15

Step-by-step 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

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