SOLUTION: Anne and Nancy use a metal alloy that is 17% copper to make jewelry. How many ounces of a 14% alloy must be mixed with a 25% alloy to form 77 ounces of the desired alloy?

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Question 372030: Anne and Nancy use a metal alloy that is 17% copper to make jewelry. How many ounces of a 14% alloy must be mixed with a 25% alloy to form 77 ounces of the desired alloy?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 14% alloy.
Let B be the amount of 25% alloy.
1.A%2BB=77
.
.
14A%2B25B=17%2877%29
2.14A%2B25B=1309
Multiply eq. 1 by (-14) and add to eq. 2,
-14A-14B%2B14A%2B25B=-1078%2B1309
11B=231
highlight%28B=21%29ounces
Then from eq. 1,
A%2B21=77
highlight%28A=56%29ounces