SOLUTION: Solve the problem. You must write two equations with two variables and show steps to solve. Anne and Nancy use a metal alloy that is 17% copper to make jewelery. How many ounces

Question 1073571: Solve the problem. You must write two equations with two variables and show steps to solve.
Anne and Nancy use a metal alloy that is 17% copper to make jewelery. How many ounces of an alloy that is 11% copper must be mixed with an alloy that is 22% copper to form 55 ounces of the desired alloy?
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let n be the amount of 22% copper to be used, and m be the amount of 11% copper to be used. Then:
n+m=55 and
.22n+.11m=.17(55)
So:
n+m=55
m=55-n
.22n+.11(55-n)=9.35
.11n+6.05=9.35
.11n=3.3
n=30
m=25
They need 30 oz. of 22% alloy, and 25 oz. of 11% alloy to make their jewelery. ☺☺☺☺
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