SOLUTION: An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each should be used to make 1000 grams of an alloy that is 45% copper?

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Question 801158: An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each should be used to make 1000 grams of an alloy that is 45% copper?
Answer by stanbon(75887) About Me  (Show Source):
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An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each should be used to make 1000 grams of an alloy that is 45% copper?
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Equation:
copper + copper = copper
0.25x + 0.50(1000-x) = 0.45*1000
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25x + 50*1000 - 50x = 45*1000
-25x = -5*1000
x = (1/5)(1000)
x = 200 grams (amt. of 25% alloy needed)
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1000-x = 800 grams (amt. of 50% alloy needed)
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Cheers,
Stan H.
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