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
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%)
