8. Sukanth sells [tex]50 \, l[/tex] of water-milk mixture to Mohan. If the ratio of milk to water is [tex]4:1[/tex], find the quantity of milk and water separately in the mixture.



Answer :

Let's solve this step by step.

1. Understand the Ratio:
The ratio of milk to water is given as [tex]\(4:1\)[/tex]. This means for every 4 parts of milk, there is 1 part of water.

2. Total Parts in the Mixture:
To find the total number of parts when the ratio is combined:
[tex]\[ \text{Total parts} = 4 + 1 = 5 \][/tex]

3. Total Volume:
The total volume of the mixture is 50 liters.

4. Calculate the Volume of Milk:
Since 4 parts of the total 5 parts are milk:
[tex]\[ \text{Volume of milk} = \left(\frac{4}{5}\right) \times 50 \text{ liters} \][/tex]
Simplifying this:
[tex]\[ \text{Volume of milk} = 40 \text{ liters} \][/tex]

5. Calculate the Volume of Water:
Since 1 part of the total 5 parts is water:
[tex]\[ \text{Volume of water} = \left(\frac{1}{5}\right) \times 50 \text{ liters} \][/tex]
Simplifying this:
[tex]\[ \text{Volume of water} = 10 \text{ liters} \][/tex]

So, Sukanth's water mixed milk contains:
- Milk: 40 liters
- Water: 10 liters