SOLUTION: ann and nancy use a metal alloy that is 16% copper to make jewerly. How many ounces of a 11% alloy must be mixed with a 24% allot to form 130 ounces of the desired alloy?

Question 517417: ann and nancy use a metal alloy that is 16% copper to make jewerly. How many ounces of a 11% alloy must be mixed with a 24% allot to form 130 ounces of the desired alloy?
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x+y=130
.11x+.24y=.16*130

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ounces of 11% alloy needed
Let = ounces of 24% alloy needed
given:
(1)
(2)
-----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
80 ounces of 11% alloy are needed
50 ounces of 24% alloy are needed
check:
(2)
(2)
(2)
(2)
OK
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