If A:B = 6:8 and B:C = 5:12, find the ratio A:B:C.

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Accepted Answer

Given: A:B = 6:8 and B:C = 5:12.

Step 1: Make the B term the same in both ratios.
A:B = 6:8 (so B = 8), B:C = 5:12 (so B = 5).

Step 2: Find the LCM of 8 and 5, which is 40.

Step 3: Express both ratios with B = 40.
For A:B = 6:8, multiply both by 5: A:B = 30:40.
For B:C = 5:12, multiply both by 8: B:C = 40:96.

Step 4: Now, combine: A:B:C = 30:40:96.

Step 5: Check if this matches any option. It does not.

Step 6: Let's check the options. Option 4 is 15:20:48, which is the same as 30:40:96 divided by 2.

So, the simplest form is 15:20:48.

Therefore, the correct answer is Option 4: 15:20:48.

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