SOLUTION: A chemist wants to mix some 34% alloy with some 70% alloy to produce 30 ounces of a 40% alloy. How many ounces of each strength should he use?

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Question 586247: A chemist wants to mix some 34% alloy with some 70% alloy to produce 30 ounces of a 40% alloy. How many ounces of each strength should he use?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A chemist wants to mix some 34% alloy with some 70% alloy to produce 30 ounces of a 40% alloy. How many ounces of each strength should he use?
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Equation:
active + active = active
0.34x + 0.70(30-x) = 0.40*30
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34x + 70*30-70x = 40*30
-36x = -30*30
x = 25 ounces (amt. of 34% alloy needed)
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70-25 = 55 ounces (amt. of 70% alloy needed)
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Cheers,
Stan H.