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Alloy X contains copper and zinc in the ratio 3:2, and Alloy Y in the 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.

1. 17:16
2. 15:14
3. 19:17
4. 11:9

Correct answer: 17:16

Solution

In 15 kg of X, copper = 9 kg and zinc = 6 kg. In 18 kg of Y, copper = 8 kg and zinc = 10 kg, so total copper = 17 kg and total zinc = 16 kg. Therefore, the ratio is 17:16.

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