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In a container you have a mixture of 150L of water and alcohol in the ratio of 2 to 3, respectively. 40L of this mixture are extracted and the rest is combined with a 36-liter mixture containing 24L of alcohol and the rest of the water. After this, what is the new relationship of water and alcohol?

 Apr 20, 2020
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You start with 150L of a mixture.

You drain out 40L, leaving you with 110L.

This is in the ratio (water to alcohol) of 2:3.

Therefore 2/5 of the 110L is water:  2/5 x 110  =  44L of water.

and 3/5 of the 110L is alcohol:  3/5 x 110  =  66L of alcohol.

 

To this you add 24L of alcohol and 12L of water.

You now have a mixture of 44 + 12 = 66L of water and 66 + 24 = 90L of alcohol.

water : alcohol  =  66 : 90  =  11 : 15

 Apr 20, 2020

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