Alloy X contains copper and zinc in ratio 3:2, and Alloy Y in ratio 4:5. If 15 kg of X and 18 kg of Y are melted together, find the ratio of copper to zinc in the new alloy.

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1. For Alloy X (ratio $3:2$), copper = $15	imes\frac{3}{5}=9$ kg, zinc = $15	imes\frac{2}{5}=6$ kg.
2. For Alloy Y (ratio $4:5$), copper = $18	imes\frac{4}{9}=8$ kg, zinc = $18	imes\frac{5}{9}=10$ kg.
3. Total copper = $9+8=17$ kg. Total zinc = $6+10=16$ kg. So ratio = $17:16$, which is **(a)**.

FINAL_ANSWER: a

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