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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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New post 12 Oct 2017, 23:27
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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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New post 13 Oct 2017, 01:21
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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.

Answer:B.

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

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New post 13 Oct 2017, 06:23
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1
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

Answer B
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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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New post 16 Oct 2017, 16:19
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.

Answer: B
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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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New post 17 Oct 2018, 04:48
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Re: An alloy of tin and copper has 6 pounds of copper for every 2 pounds &nbs [#permalink] 17 Oct 2018, 04:48
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