Question

20 litres of a mixture contains milk and water in the ratio 5:3. If 4 litres of this mixture is replaced by 4 litres of milk, the ratio of milk to water in the new mixture would be what?

Answer 1

GiVen:

• 20 litres of a mixture contains milk and water in the ratio 5:3.

To Find:

• Ratio of milk to water in the new mixture

AnSwer:

★ Milk quantity in 16 litres of mixture :

$\sf \implies \: 16 \times \dfrac{5}{8} \\ \\ \sf \implies \:2 \times 5 \\ \\ \sf \implies \:10 \: litres$

Similarly,

★ Milk quantity in 20 litres of mixture :

$\sf \implies \:10 + 4 \\ \\ \sf \implies \:14 \: litres$

Now,

★ Total quantity of water is :

$\sf \implies \:20 - 14 \\ \\ \sf \implies \:6 \: litres$

Hence,

Ratio of water and new mixture is 14 : 6 or 7 : 3

Answer 2

Solution :-

Provided :-

• 20 l of mixture of Milk and water

• Ratio Milk : Water = 5 : 3

• Replaced quantity = 4 l of mixture by 4 l milk

Let totall content of mixture be 8x

→ Milk = 5x

→ Water = 3x

Now after removing 4l of mixture , we have 16 l remain in which

• Water = 16 × 3/8 = 6 l

• Milk = 10 l

Now after adding 4 l of milk

• Water = 6 l

• Milk = 14 l

Hence ratio = 7:3 ( Milk : Water )