SOLUTION: how much 14-karat gold should be melted with 4 ounces of pure gold to produce 18-karat gold? (hint: pure gold measures 24 karats...18 karats= 18/24) Thanks!

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Question 532769: how much 14-karat gold should be melted with 4 ounces of pure gold to produce 18-karat gold?
(hint: pure gold measures 24 karats...18 karats= 18/24)

Thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It looks like 14 karat gold is +14%2F24+=+.5833+, or
58.33% pure gold
+18%2F24+=+.75+
18 karat gold is 75% pure gold
Let +x+ = ounces of 14 karat gold to be melted
+.5833x+ = ounces of pure gold in the 14 karat gold
-----------
+%28+.5833x+%2B+4+%29+%2F+%28+x+%2B+4+%29+=+.75+
+.5833x+%2B+4+=+.75x+%2B+3+
+.75x+-+.5833x+=+1+%7D%7D%0D%0A%7B%7B%7B+.16667x+=+1+
+x+=+6+
6 ounces of 14 karat gold should be melted
check:
+%28+.5833%2A6+%2B+4+%29+%2F+%28+6+%2B+4+%29+=+.75+
+%28+3.5+%2B+4+%29+%2F+10+=+.75+
+7.5%2F10+=+.75+
+7.5+=+7.5+
OK