SOLUTION: a metalworker has a metal alloy that is 20​% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 44

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Question 1173226: a metalworker has a metal alloy that is 20​% copper and another alloy that is 60% copper. How many kilograms of each alloy should the metalworker combine to create 100 kg of a 44 ​% copper​ alloy?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
x kg of 0.20 Cu
100-x kg of 0.60 Cu
that has to make 100 kg of 0.44 copper, which is 44 kg pure copper.
0.20x+0.60(100-x)=44
0.20x+60-0.60x=44
-0.40x=-16
x=40 kg of 20% (8 gm of pure)
100-x=60 kg of 60% (36 gm of pure)


Answer by ikleyn(52793)   (Show Source): You can put this solution on YOUR website!
.

From the dictionary:

    metalworker - someone who works metal  (especially by hammering it when it is hot and malleable) 

    Synonyms:  smith  Types: blacksmith. a smith who forges and shapes iron with a hammer and anvil.


An appropriate name for the profession in your post is  "a metallurgist".




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