SOLUTION: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. how many ounces of 14% alloy and a 24% ally must be mixed to form 100 ounces of the desired alloy. pleas

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Question 1040660: Anne and Nancy use a metal alloy that is 20% copper to make jewelry. how many ounces of 14% alloy and a 24% ally must be mixed to form 100 ounces of the desired alloy.


please help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of ounces of 14% alloy.
Let Y be the number of ounces of 24% alloy.
So the total weight equation is,
1.X%2BY=100
and the total concentration equation is,
14X%2B24Y=20%28X%2BY%29
14X%2B24Y=20%28100%29
14X%2B24Y=2000
2.7X%2B12Y=1000
Multiply equation 1 by -12 and add to equation 2 to solve for X.
-12X%2B7X-12Y%2B12Y=-1200%2B1000
-5X=-200
X=40
So then from eq. 1,
40%2BY=100
Y=60