Question

Two vessels contain spirit in 0.5 and 0.75 concentration if 2 litres from the first 3 litres from the second are mixed what will be the ratio of spirit and water in the resultant solution

Answer 1

In one litre of 1st solution:

Spirit = 0.5 or 50% = 500 ml
Water = 500 ml

So, 2 litres of 1st solution will have:

Spirit = 500 x 2 = 1000 ml
Water = 500 x 2 = 1000 ml

In one litre of 2nd solution:

Spirit = 0.75 or 75% = 750 ml
Water = 250 ml

So, 3 litres of 2nd solution will have:

Spirit = 750 x 3 = 2250 ml
Water = 250 x 3 = 750 ml

Resulting mixture will have:

Spirit = 1000 + 2250 = 3250 ml
Water = 1000 + 750 = 1750 ml

Ratio of spirit and water will be:

3250/1750 = 65/35 = 13/7

And concentration will be 65/(65 + 30) = 65%