SOLUTION: A silversmith combined pure silver that cost $17.80 per ounce with 50 oz of silver alloy that cost $8.50 per ounce. How many ounces of pure silver were used to make an alloy of sil

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Question 764073: A silversmith combined pure silver that cost $17.80 per ounce with 50 oz of silver alloy that cost $8.50 per ounce. How many ounces of pure silver were used to make an alloy of silver costing $15.30 per ounce?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of pure silver needed
+17.8x+ = cost in dollars of pure silver
+8.5%2A50+=+425+ = cost in dollars of 50 oz of silver alloy
-------------------
+%28+17.8x+%2B+425+%29+%2F+%28+x+%2B+50+%29+=+15.3+
+17.8x+%2B+425+=+15.3%2A%28+x+%2B+50+%29+
+17.8x+%2B+425+=+15.3x+%2B+765+
+2.5x+=+340+
+x+=+136+
136 ounces of pure silver are needed
check:
+%28+17.8x+%2B+425+%29+%2F+%28+x+%2B+50+%29+=+15.3+
+%28+17.8%2A136+%2B+425+%29+%2F+%28+136+%2B+50+%29+=+15.3+
++2845.8+%2F+186+=+15.3+
+2845.8+=+15.3%2A186+
+2845.8+=+2845.8+
OK