SOLUTION: Two copper-nickel alloys are to be mixed to obtain 12.00 kg of an alloy that contains 38.0% copper. How much of each alloy is needed if one alloy contains 22.0% and the other conta
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-> SOLUTION: Two copper-nickel alloys are to be mixed to obtain 12.00 kg of an alloy that contains 38.0% copper. How much of each alloy is needed if one alloy contains 22.0% and the other conta
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Question 992390: Two copper-nickel alloys are to be mixed to obtain 12.00 kg of an alloy that contains 38.0% copper. How much of each alloy is needed if one alloy contains 22.0% and the other contains 49.0% copper? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = kg of 22% copper alloy
Let = kg of 49% copper alloy
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(1)
(2)
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(2)
(2)
(2)
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Multiply both sides of (1) by 22 and
subtract (1) from (2)
(2)
(1)
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and
(1)
(1)
4.889 kg of 22% copper alloy is needed
7.111 kg of 49% copper alloy is needed
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check:
(2)
(2)
(2)
(2)
(2)
close enough -OK