SOLUTION: Solve the problem. Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the de
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Question 170452This question is from textbook Introductory Algebra
: Solve the problem. Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?
This question is from textbook Introductory Algebra
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the problem. Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?
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They want to make 100 oz that's 24.9% Cu. That 100 oz will contain 24.9 oz of Cu.
They have 20% and 27% available.
If they use x oz of the 20%, then they'll need 100-x ounces of the 27%.
The copper in x ounces of 20% is x/5.
The remaining will have 0.27*(100-x) ounces of copper in it.
So,
0.2x + 0.27*(100-x) = 24.9
0.2x + 27 - 0.27x = 24.9
-0.07x = -2.1
x = 30 ounces (of the 20%)
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