SOLUTION: The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold.Thus, 18-karat gold is 18/24 , or

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold.Thus, 18-karat gold is 18/24 , or       Log On

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Question 1208997: The purity of gold is measured in karats, with pure gold being 24 karats. Other purities of gold are expressed as proportional parts of pure gold.Thus, 18-karat gold is 18/24 , or 75% pure gold; 12-karat gold is 12/24 , or 50% pure gold; and so on. How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?

Answer by timofer(104) About Me  (Show Source):
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How much 12-karat gold should be mixed with pure gold to obtain 60 grams of 16-karat gold?


If to mix x of 12 karat gold and result in 60 grams of 16 karat gold then
this would be with 60-x of the 24 karat gold.

%2812%2F24%29x%2B%2824%2F24%29%2860-x%29=%2816%2F24%29%2A60
This equation should be clear. Solve for x.



12x%2B24%2A60-24x=16%2A60
-12x%2B24%2A60=16%2A60
12x-24%2A60=-16%2A60
12x=60%2824-16%29
x=60%288%2F12%29
x=60%282%2F3%29
x=40-----------40 grams of the 12-karat gold