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# An alloy of tin and copper has 6 pounds of copper for every 2 pounds

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Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135163 [1], given: 12664

An alloy of tin and copper has 6 pounds of copper for every 2 pounds [#permalink]

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13 Oct 2017, 00:27
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15% (low)

Question Stats:

88% (00:40) correct 12% (00:42) wrong based on 75 sessions

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An alloy of tin and copper has 6 pounds of copper for every 2 pounds of tin. If 200 pounds of this alloy are made, how many pounds of tin are required?

A. 25
B. 50
C. 100
D. 125
E. 150
[Reveal] Spoiler: OA

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Kudos [?]: 135163 [1], given: 12664

Manager
Joined: 07 Jul 2012
Posts: 219

Kudos [?]: 67 [1], given: 65

Location: India
Concentration: Finance
Re: An alloy of tin and copper has 6 pounds of copper for every 2 pounds [#permalink]

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13 Oct 2017, 02:21
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Ratio of Copper:Tin= 6:2 or 3:1
In 200 pounds of alloy, quantity of tin is:

200*$$\frac{1}{4}$$= 50.

So quantity of Tin is: 50.

Kudos please if you like my explanation!
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Kudos [?]: 67 [1], given: 65

VP
Joined: 22 May 2016
Posts: 1102

Kudos [?]: 392 [1], given: 636

An alloy of tin and copper has 6 pounds of copper for every 2 pounds [#permalink]

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13 Oct 2017, 07:23
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Bunuel wrote:
An alloy of tin and copper has 6 pounds of copper for every 2 pounds of tin. If 200 pounds of this alloy are made, how many pounds of tin are required?

A. 25
B. 50
C. 100
D. 125
E. 150

This question is a little sneaky: "copper and tin," used twice in the first sentence, are reversed.

Method I: ratio with multiplier (Usu. faster)

$$\frac{6C}{2T} = \frac{3C}{1T}$$

Total of the ratio parts:
3x + 1x = 4x, where $$x$$ is the multiplier

$$4x = 200$$
$$x = 50$$
Tin is 1x: (1 * 50) = 50 pounds

To check: Copper is (3x * 50) = 150 lbs
150C + 50T = 200 lbs of alloy

Method II: ratio, no multiplier

$$\frac{C}{T} = \frac{6}{2}$$

Total of ratio parts: 6 + 2 = 8
Tin is $$\frac{2}{8} = \frac{1}{4}$$ of the alloy. The amount of tin as a fraction of the alloy remains constant.

Tin is $$\frac{1}{4}$$ of the 200 pounds of alloy.
$$\frac{1}{4}*(200)$$ = 50 pounds of tin

Kudos [?]: 392 [1], given: 636

Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1771

Kudos [?]: 971 [0], given: 5

Re: An alloy of tin and copper has 6 pounds of copper for every 2 pounds [#permalink]

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16 Oct 2017, 17:19
Bunuel wrote:
An alloy of tin and copper has 6 pounds of copper for every 2 pounds of tin. If 200 pounds of this alloy are made, how many pounds of tin are required?

A. 25
B. 50
C. 100
D. 125
E. 150

We have the ratio copper : tin = 6x : 2x; thus:

6x + 2x = 200

8x = 200

x = 25

Thus, 2 x 25 = 50 pounds of tin are required.

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Jeffery Miller

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 971 [0], given: 5

Re: An alloy of tin and copper has 6 pounds of copper for every 2 pounds   [#permalink] 16 Oct 2017, 17:19
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