SOLUTION: A chemist wants to create 60 grams of an nickel alloy that is 65% pure. She has one mixture of an nickel alloy that is 45% pure and another mixture that is 75% pure. How much of

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Question 235976: A chemist wants to create 60 grams of an nickel alloy that is 65% pure. She has one mixture of an nickel alloy that is 45% pure and another mixture that is 75% pure. How much of each mixture must she use?

Answer by josmiceli(3012) About Me  (Show Source):
You can put this solution on YOUR website!
Let = grams of 45% mixture to be used
Let = grams of 75% mixture to be used
given:
(1) grams
(2) = pure nickel in final mixture
------------------------------
In words:
( grams of pure nickel in final mixture )/(total grams) = 65%


(3)
Multiply both sides of (1) by and subtract
(1) from (3)
(3)
(1)


And, since



20 grams of the 45% mixture and 40 grams of the 75% mixture are needed
check:





OK