Question

A container is filled with liquid, 6 part of which are water and 10 part milk. how much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half milk?

Answer 1

3.2 parts of mixture should be taken out and that be replaced by 3.2 litre of waters then mixture will be half milk n half water

Answer 2

Given : 6 part is water and 10 part is milk.

Find : Part of mixture to be drawn off and replaced with water

         so that the mixture would have equal water and milk.

• Let the part of mixture to be drawn off and replaced with water be x.
• The water milk ratio in the liquid is 6:10.
• New ratio=1/1
• So what we are doing is taking out the milk according to the mixture ratio and adding that much of water to the mixture.
• Amount of water added=Amount of milk taken out=(x/16)10.

⇒((x/16)10+6)/(10-(x/16)10)=1/1

⇒(x/16)10+6=10-(x/16)10

⇒(x/16)20=4

⇒x=3.2

∴The part of mixture to be drawn off and replaced with water is 3.2