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# In two alloys, copper and zinc are in the ratios of 4:1 and 1:3.

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Intern
Joined: 06 Jun 2018
Posts: 14
WE: Engineering (Energy and Utilities)
In two alloys, copper and zinc are in the ratios of 4:1 and 1:3.  [#permalink]

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06 Jul 2018, 21:43
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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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Joined: 26 Feb 2016
Posts: 3325
Location: India
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In two alloys, copper and zinc are in the ratios of 4:1 and 1:3.  [#permalink]

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06 Jul 2018, 22:18
GoonerForever wrote:
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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Joined: 19 Nov 2017
Posts: 174
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
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Re: In two alloys, copper and zinc are in the ratios of 4:1 and 1:3.  [#permalink]

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06 Jul 2018, 22:51

Regards,
V
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GPA: 3.12
Re: In two alloys, copper and zinc are in the ratios of 4:1 and 1:3.  [#permalink]

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06 Jul 2018, 23:04
vaibhav1221 wrote:

Regards,
V

I agree vaibhav1221

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

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Re: In two alloys, copper and zinc are in the ratios of 4:1 and 1:3. &nbs [#permalink] 06 Jul 2018, 23:04
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