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Two alloys are required to make a specific alloy used for metal extraction. This alloy is used in the mixture of metal extraction. The ratio of copper and iron in the first and the second alloy is 2 : 3 and 1 : 3 respectively. These alloys are mixed in different ratios everyday depending upon the needs of the metal extractor. On a particular day, an alloy having 90% copper was required. In what ratio the given two alloys be mixed?
  • a)
    10 : 1
  • b)
    40 : 1
  • c)
    21 : 13
  • d)
    Not possible.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two alloys are required to make a specific alloy used for metal extrac...
Since both the alloys have copper content of less than 90%, it is not possible to obtain an alloy having 90% copper content by mixing these alloys in any proportion.
Hence, option 4.
 
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Most Upvoted Answer
Two alloys are required to make a specific alloy used for metal extrac...
Given Information:
- Ratio of copper and iron in first alloy: 2 : 3
- Ratio of copper and iron in second alloy: 1 : 3
- Alloy required should have 90% copper

Solution:

Step 1: Calculate the Copper content in the Two Alloys
- Let the first alloy contain 2x units of copper and 3x units of iron
- Let the second alloy contain y units of copper and 3y units of iron
- As the alloy should have 90% copper, the ratio of copper to total metal = 90 : 100 = 9 : 10
- In the first alloy, copper content = 2x, total metal content = 2x + 3x = 5x
- In the second alloy, copper content = y, total metal content = y + 3y = 4y
- So, 2x / 5x = 9 / 10 and y / 4y = 9 / 10
- Solving these equations, we find x = 5 and y = 4.5

Step 2: Determine if the Required Alloy can be Obtained
- In the final alloy, the ratio of the first and second alloy should be in such a way that the copper content is 90%
- 2x / (2x + 3x) = 9 / 10 and y / (y + 3y) = 9 / 10
- Substituting the values of x and y, we get 10 / 15 = 9 / 10 and 4.5 / 7.5 = 9 / 10
- Hence, it is not possible to obtain an alloy with 90% copper by mixing the given two alloys
Therefore, the correct answer is option 'D' - Not possible.
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