SOLUTION: one alloy contains 20% silver and another contains 8% silver. How many grams of each should be mixed to give 120 g of an alloy which is 15% silver?

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Question 343228: one alloy contains 20% silver and another contains 8% silver. How many grams of each should be mixed to give 120 g of an alloy which is 15% silver?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one alloy contains 20% silver and another contains 8% silver. How many grams of each should be mixed to give 120 g of an alloy which is 15% silver?
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Equation:
silver + silver = silver
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0.20x + 0.08(120-x) = 0.15*120
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Multiply thru by 100:
20x + 8*120 - 8x = 15*120
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12x = 7*120
x = 70 grams (amt of 20% alloy needed in the mixture)
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120-x = 50 grams (amt of 8% alloy needed in the mixture)
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Cheers,
Stan H.