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A goldsmith has two alloys that are different purities of gold. The first is three-fourths part gold and the second is five-twelfths pure good. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold?

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Let x oz of three-fourths pure gold and y oz of five-twelfths pure gold be required

(3/4)x + (5/12)y = ...

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