Final answer:
To make the water in the milk vessel 20%, you would need to add 7.5 liters of water.
Step-by-step explanation:
To make the water in the milk vessel 20%, we need to calculate how much % of water should be added.
Let's start by finding how much milk is currently in the vessel:
60 liters * 50% = 30 liters of milk
Next, let's calculate how much water is currently in the vessel:
60 liters * 10% = 6 liters of water
In order to make the water 20% of the total mixture, we need to find how much water should be added. Let's call it 'x' liters:
(6 liters + x liters) / (60 liters + x liters) = 20%
Simplifying the equation, we get:
6 + x = 0.2(60 + x)
6 + x = 12 + 0.2x
0.8x = 6
x = 6 / 0.8
x = 7.5 liters
So, to make the water 20%, you would need to add 7.5 liters of water to the milk vessel.