Once you attempt the question then PrepInsta explanation will be displayed.

We have,

Mixture of whiskey and water = 66 liters

Initial ratio of whiskey and water = 4:7

Changed ratio of whiskey and water = 2:3

Let the whiskey be 4x

and water be 7x

A/q

4x+7x = 66

=> 11x = 66

=> x = 66/11 = 6

Whisky = 4×6 = 24 litres

Water = 7×6 = 42 litres

Now,

4+x/7+x = 2/3

=> 3(4+x) = 2(7+x)

=> 12 + 3x = 14 + 2x

=> 3x - 2x = 14 - 12

=> x = 2

Then,

Whisky = 4+x = 4+2 = 6

Water = 7+x = 7+2 = 9

So,

Whiskey = 6 × 6 = 36 litres

Water = 9×6 = 54 litres

Hence,

Initial weight of whiskey = 24 litres

Changed Weight of whiskey = 36 litres

**Added whiskey = 36 - 24 = 12L**

Initial weight of water = 42 litres

Changed Weight of water = 54 litres

**Added water = 54 - 42 = 12L**

Login/Signup to comment