SOLUTION: Anne and Nancy use a metal alloy that is 15.04% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 17% alloy from 100 ounces of the desired alloy?

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Question 351277: Anne and Nancy use a metal alloy that is 15.04% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 17% alloy from 100 ounces of the desired alloy?
Answer by nerdybill(7384) About Me  (Show Source):
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Anne and Nancy use a metal alloy that is 15.04% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 17% alloy from 100 ounces of the desired alloy?
Let x = amount of 17% alloy
then
100-x = amount of 10% alloy

.17x + .10(100-x) = .1504(100)
.17x + 10-.10x = 15.04
.07x + 10 = 15.04
.07x = 5.04
x = 5.04/.07

x = 72 ounces (17% alloy)
For 10% alloy:
100-x = 100-72 = 28 ounces