SOLUTION: A silversmith has two alloys, one containing 70% silver and the other 30% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 54% silv

Question 534019: A silversmith has two alloys, one containing 70% silver and the other 30% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 54% silver?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A silversmith has two alloys, one containing 70% silver and the other 30% silver. How much of each should be melted and combined to obtain 100 grams of an alloy containing 54% silver?
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Equation:
silver + silver = silver
0.70x + 0.30*(100-x) = 0.54*100
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Multiply thru by 100 to get:
70x + 30*100 - 30x = 54*100
40x = 14*100
x = 35 grams(amt. of 70% alloy needed)
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100-35 = 65 grams (amt. of 30% alloy needed)
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Cheers,
Stan H.
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