SOLUTION: How many g of gold should a coin of 45 % gold be if when combined with a 11 g pure gold necklace, it forms a metal that is 71 % gold?

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Question 1033173: How many g of gold should a coin of 45 % gold be if when combined with a 11 g pure gold necklace, it forms a metal that is 71 % gold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of the 45% gold coin needed
+.45x+ = grams of pure gold in +x+
grams of 45% gold coin
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+%28+.45x+%2B+11+%29+%2F+%28+x+%2B+11+%29+=+.71+
+.45x+%2B+11+=+.71%2A%28+x+%2B+11+%29+
+.45x+%2B+11+=+.71x+%2B+7.81+
+.26x+=+3.19+
+x+=+12.27+
12.27 grams of the 45% gold coin are needed
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check:
+%28+.45x+%2B+11+%29+%2F+%28+x+%2B+11+%29+=+.71+
+%28+.45%2A12.27+%2B+11+%29+%2F+%28+12.27+%2B+11+%29+=+.71+
+%28+5.522+%2B+11+%29+%2F+23.27+=+.71+
+16.52+%2F+23.27+=+.71+
+.7099+=+.71+
close enough