Question

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.

• A. 17 : 16
• B. 15 : 14
• C. 19 : 17
• D. 11 : 9

Answer 1

Answer:

A. 17 : 16

To find the ratio of copper to zinc in the new alloy, we calculate the exact amounts of copper and zinc contributed by each alloy:

1. Calculate the components in Alloy X (15 kg)

• Ratio of Copper to Zinc = 3:2 (Total parts = 3+2=5 )

• Copper in X = 15×3/5=9 kg

• Zinc in X = 15×2/5=6 kg

2. Calculate the components in Alloy Y (18 kg)

• Ratio of Copper to Zinc = 4:5 (Total parts = 4+5=9

• Copper in Y = 18×4/9=8 kg

• Zinc in Y = 18×5/9=10 kg

3. Total amounts in the new alloy

• Total Copper = 9 kg+8 kg=17 kg

• Total Zinc = 6 kg+10 kg=16 kg

Conclusion

The ratio of copper to zinc in the new alloy is 17 : 16.