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%)