If A :
B = 4 : 5, B : C = 6 : 7, and C : D = 10 : 11, find the compound ratio A : B : C : D.

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Accepted Answer

1. From A:B = 4:5 take A = 4x, B = 5x.

2. From B:C = 6:7 take B = 6y, C = 7y. Equate B: $5x = 6y$. Choose $x=6, y=5$ so: A = 24, B = 30, C = 35.

3. From C:D = 10:11, write $10z = 35$, so $z = 35/10 = 7/2$. Then $D = 11*7/2 = 77/2$.

4. Multiply all terms by 2 to clear the fraction: $48:60:70:77$. This matches option (a).

FINAL_ANSWER: a

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