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GoonerForever
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 06 Jul 2018, 22:43
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 10kg of 1st alloy and 16kg of 2nd alloy and some pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy.

1) 24
2) 38
3) 40
4) 55
5) 36

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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 06 Jul 2018, 23:18
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GoonerForever
In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 10kg of 1st alloy and 16kg of 2nd alloy and some pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy.

1) 24
2) 38
3) 40
4) 55
5) 36

Are your answer options correct?
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 06 Jul 2018, 23:51
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Answer should be 35. Please check your answer choices.

Regards,
V
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 07 Jul 2018, 00:04
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vaibhav1221
Answer should be 35. Please check your answer choices.

Regards,
V

I agree vaibhav1221

So, this is how I went about this problem:
If there is 10 kg of the first alloy and the ratio is 4:1, there is 8 kg of copper for 2 kg of zinc
Similarly, for 16 kg of the second alloy and ratio of 1:3, there is 4 kg of copper for 12 kg of zinc
We need a new alloy in which the ratio of copper to zinc is 3:2(3x:2x)

Since we can add pure copper to this mixture and get the new alloy with the 3:2 ratio,
8+4+x/2+12 = 3/2 -> 42 = 2(12+x) -> x = 9

When we add 9 kg of pure copper, the resulting weight of the new alloy will be 10+16+9 = 35kg

GoonerForever - Please check your answer options. We must have 35 kg as an option!
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. 20 Aug 2019, 12:00
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