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 StartFraction 18 Over 24 EndFraction 18 24​, or​ 75% pure​ gold; 12-karat gold is StartFraction 12 Over 24 EndFraction 12 24​, or​ 50% pure​ gold; and so on. How much 1212​-karat gold should be mixed with pure gold to obtain 3030 grams of 2222​-karat ​gold?

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