SOLUTION: How much pure copper must be added to 50 kg of an alloy containing 12% copper to raise the copper content to 21%?

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Question 911345: How much pure copper must be added to 50 kg of an alloy containing 12% copper to raise the copper content to 21%?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How much pure copper must be added to 50 kg of an alloy containing 12% copper to raise the copper content to 21%?
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let x=amt of pure copper to add:
12%*50+100%x=21%(50+x)
6+x=10.5+.21x
.79x=4.5
x=5.7
amt of pure copper to add: 5.7 kg

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = kg of pure copper to be added
+.12%2A50+=+6+ kg of copper in 12% alloy
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+%28+6+%2B+x+%29+%2F+%28+50+%2B+x+%29+=+.21+
+6+%2B+x+=+.21%2A%28+50+%2B+x+%29+
+6+%2B+x+=+10.5+%2B+.21x+
+.79x+=+4.5+
+x+=+5.696+
5.696 kg of pure copper must be added
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check:
+%28+6+%2B+x+%29+%2F+%28+50+%2B+x+%29+=+.21+
+%28+6+%2B+5.696+%29+%2F+%28+50+%2B+5.696+%29+=+.21+
+11.696+%2F+55.696+=+.21+
+11.696+=+.21%2A55.696+
+11.696+=+11.696+
OK