SOLUTION: An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?

Question 940860: An alloy of metals is 25% copper. Another alloy is 50% copper. How much of each alloy should be used to make 1000 grams of an alloy that is 45% copper?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = grams of 25% alloy needed
Let = grams of 50% alloy needed
= grams of copper in 25% alloy
= grams of copper in 50% alloy
-------------------------------------
(1)
(2)
--------------------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
------------------------------

and, since
(1)
(1)
---------------------
200 grams of 25% alloy are needed
800 grams of 50% alloy are needed
--------------------------------
check:
(2)
(2)
(2)
(2)
OK

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