Question

If A:B=9:12 and B:C=6:14
Find A:B:C
HINT
1) Find the value of A in terms of B
2) Find the value of C in terms of B
3) Now replace the value of A and C in A:B:C and answer in the simplest form

Answer 1

The ratio of A:B:C is 9:12:28.

Step-by-step explanation:

The given ratios are A:B=9:12 and B:C=6:14.

We need to find the ratio A:B:C.

Find the value of A in terms of B

$\dfrac{A}{B}=\dfrac{9}{12}\Rightarrow A=\dfrac{9}{12}B$

Find the value of C in terms of B

$\dfrac{C}{B}=\dfrac{14}{6}\Rightarrow C=\dfrac{14}{6}B$

$A:B:C=\dfrac{9}{12}B:B:\dfrac{14}{6}B$

On simplification we get

$A:B:C=\dfrac{9}{12}B:\dfrac{12}{12}B:\dfrac{28}{12}B$

Cancel out common factors.

$A:B:C=9:12:28$

Therefore, the ratio of A:B:C is 9:12:28.

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