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A vessel is filled with liquid, 5 parts of which are water and 11 parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be syrup and water in the ratio 3 : 2?
$$\frac{14}{45}$$
$$\frac{27}{35}$$
$$\frac{36}{65}$$
$$\frac{7}{55}$$
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