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A chemist is making an alloy of tin and copper. The ratio of tin to co
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30 Jun 2021, 05:38
30 Jun 2021, 05:38
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A chemist is making an alloy of tin and copper. The ratio of tin to copper in the alloy is 1 to 4. If the number of grams of copper in the alloy is 36, how many total grams are in the alloy?
Show: :: OA
45 grams
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Re: A chemist is making an alloy of tin and copper. The ratio of tin to co
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30 Jun 2021, 06:28
30 Jun 2021, 06:28
1
Carcass wrote:
A chemist is making an alloy of tin and copper. The ratio of tin to copper in the alloy is 1 to 4. If the number of grams of copper in the alloy is 36, how many total grams are in the alloy?
Show: :: OA
45 grams
\(\frac{T}{C} = \frac{1}{4}\)
C \(= \frac{4}{(1 + 4)}Total = \frac{4}{5}Total\)
\(36 = \frac{4}{5}Total\)
\(Total = 45gms\)
Another Approach:
\(x + 4x = Total\)
\(Total = 5x\)
Now, \(4x = 36\)
i.e. \(x = 9\)
So, \(Total = 45gms\)
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Re: A chemist is making an alloy of tin and copper. The ratio of tin to co
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11 Nov 2021, 12:14
11 Nov 2021, 12:14
1
Carcass wrote:
A chemist is making an alloy of tin and copper. The ratio of tin to copper in the alloy is 1 to 4. If the number of grams of copper in the alloy is 36, how many total grams are in the alloy?
Show: :: OA
45 grams
We can solve this question using equivalent ratios in the form mass of tin/mass of copper
So we get: x/36 = 1/4
Cross multiply to get: 4x = 36
Solve: x = 36/4 = 9
So, the alloy contains 36 grams of copper and 9 grams of tin.
Total weight = 36 + 9 = 45 grams
Answer: 45
