An alloy of copper and aluminum has 40% copper. An alloy of copper and zinc has copper and zinc in the ratio 2: 7. These two alloys are mixed in such a way that in the overall alloy, there is more aluminum than zinc, and copper constitutes x% of this alloy. What is the range of values x can take?
Answers
Answer:
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Answer:
Between 32.25 and 40%.
Explanation:
For the first case the ratio of copper to alloy will be 2:3. Since, from the question we know that 40% of copper and 60% of aluminium is present. The separation will be 2x and 3x
Then, the ratio of copper to zinc is 2:7. So, the separation will be 2y and 7y. So, the total percentage of copper from the above deduction will be after putting x=7 and y=3. So, the copper will be 2*7 + 2*3=20. While the total is 35+27. So, the ratio will be 20/62*100= 32.25%.
Again, when the aluminium is maximum then putting x=1 and y=0. We will get the percentage of copper 2/5*100=40% . Hence, we see that the percentage of copper will lie between 32.25 and 40 percent.