SOLUTION: A jeweler wishes to prepare 200 grams of 80% pure gold from sources that are 68% pure gold and 83% pure gold how many grams of each should he use?

Question 979472: A jeweler wishes to prepare 200 grams of 80% pure gold from sources that are 68% pure gold and 83% pure gold how many grams of each should he use?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = grams of 68% gold to be used
Let = grams of 83% gold to be used
--------------------------
(1)
(2)
------------------
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
---------------------------

and
(2)
(2)
40 grams of 68% gold is to be used
160 grams of 83% gold is to be used
-----------------------------------
check:
(1)
(1)
(1)
(1)
(1)
OK

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