Question

Milk and water are in ratio 5:1 in a 72 litre mixture.
How many litres of water must be poured into it
so that the ratio becomes 3:1?​

Answer 1

Answer:

Let the vessel contains 8 litres of liquid.

Let x litres of this liquid be replaced with water

when x litre of mixture is taken out it means

8

5x

litre milk and

8

3x

litre water taken out

Quantity of water in new mixture =(3−

8

3x

+x)litres

Quantity of milk in new mixture =(5−

8

5x

)litres

∴(3−

8

3x

+x)=(5−

8

5x

)

⇒5x+24=40−5x

⇒10x=16

∴x=

5

8

So, part of the mixture replaced =(

5

8

×

8

1

)=

5

1

.