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Select the correct answerIf a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options5 : 6 : 815 : 24 : 2815 : 24 : 325 : 8 : 6

Question

Select the correct answerIf a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options5 : 6 : 815 : 24 : 2815 : 24 : 325 : 8 : 6

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Solution

The given ratios are a : b = 5 : 8 and c : b = 4 : 3.

To find the ratio a : b : c, we need to make the 'b' term in both ratios equal.

The 'b' term in the first ratio is 8 and in the second ratio is 3. The least common multiple of 8 and 3 is 24.

So, we multiply the first ratio by 3 and the second ratio by 8 to make the 'b' term equal in both ratios.

This gives us a : b = 15 : 24 and c : b = 32 : 24.

Therefore, the ratio a : b : c is 15 : 24 : 32.

So, the correct answer is 15 : 24 : 32.

This problem has been solved

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