If P :
Q = 5 : 3, Q : R = 4 : 7, and R : S = 2 : 3, find the ratio P : S.

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Accepted Answer

1. Make Q the same. $P:Q=5:3$ and $Q:R=4:7$. The LCM of 3 and 4 is 12. Multiply the first ratio by 4 and the second by 3 to get $P:Q=20:12$ and $Q:R=12:21$.

2. Combine to get $P:R=20:21$.

3. Use $R:S=2:3$. The LCM of 21 and 2 is 42. Multiply $P:R$ by 2 to get $P:R=40:42$. Multiply $R:S$ by 21 to get $R:S=42:63$.

4. So $P:S=40:63$. **Answer: (b)**

FINAL_ANSWER: b

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