If A :
B = 7 : 9, B : C = 3 : 5 and C : D = 8 : 11, find A : B : C : D.

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Accepted Answer

1. Scale $B:C=3:5$ by $3$ so $B=9$. This gives $B:C=9:15$. 
2. Now $A:B:C=7:9:15$. 
3. To match $C=15$ with $C=8$ in $C:D=8:11$, take LCM $120$. Multiply $A:B:C$ by $8$ to get $56:72:120$. Multiply $C:D$ by $15$ to get $120:165$. 
4. So $A:B:C:D=56:72:120:165$. **Answer (a).**

FINAL_ANSWER: a

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