SOLUTION: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?

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Question 347245: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?
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Equation:
copper + copper = copper
0.14x + 0.24(100-x) = 0.20*100
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Multiply thru by 100 to get:
14x + 24*100 - 24x = 20*100
-10x = -4*100
x = 40 ounces (amt of 14% alloy needed in the mixture)
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100-x = 60 ounces (amt of 24% alloy needed in the mixture)
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Cheers,
Stan H.
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