Ratio of milk and water in a container containing 100 litersof the mixture is 3: 1. After the addition of some more milk into it, the ratiobecomes 4: 1. Find the quantity of milk added.

Sure, let's solve this step by step:

Step 1: Understand the problem The problem states that we have a mixture of milk and water in a container. The ratio of milk to water is 3:1 and the total quantity of the mixture is 100 liters. Some milk is added to the mixture and the ratio changes to 4:1. We need to find out how much milk was added.

Step 2: Calculate the initial quantities of milk and water The initial ratio of milk to water is 3:1, which means for every 3 parts of milk, there is 1 part of water. So, out of a total of 4 parts, 3 parts are milk. Therefore, the initial quantity of milk in the mixture is (3/4)*100 = 75 liters. Similarly, the initial quantity of water is (1/4)*100 = 25 liters.

Step 3: Calculate the new quantities of milk and water After adding more milk, the ratio of milk to water becomes 4:1. This means that the quantity of water remains the same (25 liters), but the quantity of milk increases. Let's say that 'x' liters of milk were added. So, the new quantity of milk is 75 + x liters.

Step 4: Set up the equation According to the new ratio (4:1), the quantity of milk is 4 times the quantity of water. So, we can set up the following equation: 75 + x = 4*25

Step 5: Solve the equation Solving the equation gives us: x = 4*25 - 75 = 100 - 75 = 25 liters.

So, 25 liters of milk were added to the mixture.