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Alligation or Mixture

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A vessel is filled with liquid, 3 parts of which are water and 5 parts of 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?

A. 2018-01-03 00:00:00

B. 2018-01-04 00:00:00

C. 2018-01-05 00:00:00

D. 2018-01-07 00:00:00

View Answer

Correct choice: C

Explanation:

Suppose the vessel initially contains 8 litres of liquid. Let x litres of this liquid be replaced with water. Quantity of water in new mixture = (3−3x8+x) litres. Quantity of syrup in new mixture = (5−5x8) litres. (3−3x8+x)=(5−5x8) => 5x + 24 = 40 - 5x => 10x = 16 => x = 8/5 So, part of the mixture replaced = (85×18) = 1/5.

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Arithmetic Ability Alligation or Mixture

Arithmetic Ability
Alligation or Mixture