SOLUTION: One hundred percent pure gold is 24-karat gold, which is too soft to be made into jewelry. Most gold jewelry. Most gold jewelry is 14-karrat gold, approximately 58% gold. If 18-kar

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Question 820479: One hundred percent pure gold is 24-karat gold, which is too soft to be made into jewelry. Most gold jewelry. Most gold jewelry is 14-karrat gold, approximately 58% gold. If 18-karat gold is 75% gold and 12-karat gold is 50% gold, how much of each should be used to make a 14-karat gold bracelet weighing 300 grams?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = grams of 75% gold needed
Let = grams of 50% gold needed
---------------
(1)
(2)
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(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
------------------
(2)
(1)

and, since
(1)
(1)
96 grams of 75% gold are needed
204 grams of 50% gold are needed
------------------------------
check:
(2)
(2)
(2)
(2)
OK