Alligation or Mixture problems
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

1 3
1 7
1 4
1 5

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Alligation or Mixture problems
In what ratio must water be mixed with milk to gain 16⅔% on selling the mixture at cost price?

2 : 3
6 : 1
1 : 6
4 : 3

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