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 1023360: 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?
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
We need a total of 50
Let X be the amount of 18 karat
So (50-X) is the amount of 12 karat gold



Do the cross products

2900 = 2500 + 25X
add -2500 to each side
400 = 25X
divide each side by 25
16 = X , the amount of 18K ( 75% )
(50 - X ) = (50 - 16) = 34 , the amount of 12K (50%)

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