Question

a vessel of 32 litresis fill of pure alcohol.every time 8 liters are drawn&filled with water.this procedure done thrice.water quantity finally?<br />

Answer 1

32-8=24

24-8=16

16-8=8

8 ounces of alcohol

24 ounces of water.

Answer 2

Vessel = 32 litres of alcohol

8 litres of alcohol are drawn and replaced with water:

alcohol = 32 - 8 = 24 litres

water = 8 litres

Percentage of alcohol = 24/32 x 100 = 75%

Percentage of alcohol = 8/32 x 100 = 25%

There are 24 litres of alcohol and 8 litres of water

8 litres of mixture are drawn and replaced with water (2nd time):

alcohol drawn = 75% of 8 = 0.75 x 8 = 6 litres

water drawn = 25% of 8 = 0.25 x 8 = 2 litres

water replaced = 8 litres

alcohol = 24 - 6 = 18 litres

water = 8 -2 + 8 =  14 litres

Percentage of alcohol = 18/32 x 100 = 56.25%

Percentage of alcohol = 14/32 x 100 = 43.75%

There are 18 litres of alcohol and 14 litres of water

8 litres of mixture are drawn and replaced with water (2nd time):

alcohol drawn = 56.25% of 8 = 0.75 x 8 = 4.5 litres

water drawn = 43.75% of 8 = 0.4375 x 8 = 3.5 litres

water replaced = 8 litres

alcohol = 18 - 4.5 = 13.5 litres

water = 14 - 3.5 + 8 =  18.5 litres

There are 13.5 litres of alcohol and 18.5 litres of water

Answer 18.5 litres of water.