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 answer
If a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:
Options
- 5 : 6 : 8
- 15 : 24 : 28
- 15 : 24 : 32
- 5 : 8 : 6
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.
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