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

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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)

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86% (00:36) correct 14% (00:39) wrong based on 106 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

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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
1
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.

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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

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