SOLUTION: Anne & Nancy use a metal alloy that is 23.371% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 28% alloy to form 105 ounces of the desired alloy?

Question 310839: Anne & Nancy use a metal alloy that is 23.371% copper to make jewelry. How many ounces of a 10% alloy must be mixed with a 28% alloy to form 105 ounces of the desired alloy?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Anne & Nancy use a metal alloy that is 23.371% copper to make jewelry.
How many ounces of a 10% alloy must be mixed with a 28% alloy to form 105 ounces of the desired alloy?
:
Let x = amt of 28% alloy required
It give the resulting total to be 105 oz, therefore
(105-x) = amt of 10% alloy
:
.28x + .10(105-x) = .23371(105)
:
.28x + 10.5 - .10x = 23.48955
:
.28x - .10x = 23.48955 - 10.5
:
.18x = 12.98955
x =
x = 72.164 oz of 28% alloy
then
105 - 72.164 = 32.836 oz of 10% alloy
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