SOLUTION: How many mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy 78% nickel?

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Question 326419: How many mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy 78% nickel?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let X be the number of mg of 45% nickel.
45X%2B100%286%29=78%28X%2B6%29
45X%2B600=78X%2B468
-33X=-132
highlight%28X=4%29
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4 mg of 45% nickel needs to be added.