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Mixture X contains iron and copper in the ratio 4:5. Mixture Y contains iron and copper in the ratio 3:4. If 45 kg of X and 63 kg of Y are blended, what is the resulting ratio of copper to iron?

1. 61 : 47
2. 64 : 47
3. 59 : 45
4. 57 : 41

Correct answer: 61 : 47

Solution

Alloy X (45 kg, ratio 4:5): iron = 45 x 4/9 = 20 kg, copper = 25 kg. Alloy Y (63 kg, ratio 3:4): iron = 63 x 3/7 = 27 kg, copper = 36 kg. Total iron = 47 kg, total copper = 61 kg. Copper : Iron = 61 : 47.

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