SOLUTION: For thousands of​ years, gold has been considered one of the​ Earth's most precious metals. One hundred percent pure gold is​ 24-karat gold, which is too soft to
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Question 1124264: For thousands of years, gold has been considered one of the Earth's most precious metals. One hundred percent pure gold is 24-karat gold, which is too soft to be made into jewelry. Most gold jewelry is 14-karat 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 50 grams?
How many grams of 18-karat gold needs to be used to make the bracelet?
? grams
How many grams of 12-karat gold needs to be used to make the bracelet?
? grams
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = grams of 12 karat gold needed
Let = grams of 18 karat gold needed
覧覧覧覧-
(1)
(2)
覧覧覧覧覧覧覧覧-
(2)
Multiply both sides by and
Subtract (1) from (2)
(2)
(1)
覧覧覧覧覧-
And
(1)
(1)
覧覧覧覧覧
34 g of 12 k gold
16 g of 18 k gold
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