A vessel is filled with liquid, 3/8th parts of which are water and 5/8th parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

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A vessel is filled with liquid, 3/8th parts of which are water and 5/8th parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?