If A:B = 6:8 and B:C = 7:10, then find the ratio A:B:C.

Question

Accepted Answer

Given ratios are A:B = 6:8 and B:C = 7:10.

Step 1: Make the B terms equal in both ratios to combine them.
- A:B = 6:8
- B:C = 7:10

Step 2: Find LCM of B terms (8 and 7) = 56.

Step 3: Adjust ratios to have B = 56.
- For A:B, multiply both terms by 7: (6*7):(8*7) = 42:56
- For B:C, multiply both terms by 8: (7*8):(10*8) = 56:80

Step 4: Now combine the ratios as A:B:C = 42:56:80.

Step 5: Simplify if possible. Here, 42:56:80 cannot be simplified further.

Hence, the ratio A:B:C = 42:56:80, which can be divided by 2 to get 21:28:40.

Therefore, the correct answer is 21:28:40.

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