217k views
3 votes
if 60 liters of milk is in the vessel and it contains 10% of water and 50% of milk so how much % of the water should be added in the milk to make the water 20%?

User Sai Nikhil
by
8.4k points

1 Answer

5 votes

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.

User Jose Fernandez
by
8.5k points