Question

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?​

Answer 1

Answer:

How much more water should be added so that water becomes 25% of the new mixture? Number of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters. P liters of water added to the mixture to make water 25% of the new mixture.

Answer 2

Given:

A mixture of 150 litres of wine and water contains 20% water.

To Find:

How much more water should be added so that water becomes 25% of the new mixture?​

Solution:

We are given a mixture of 150 litres of wine and water containing 20% water and we need to find the amount of water added so that it becomes 25% of the mixture,

In a mixture of 150L water is 20% so the amount of water will be,

Water=20%*150

         =30L

Wine=150-30

        =120L

Now let the amount of water added be x, so the new quantity will be,

Water=30+x

Total=150+x

Now it is said that water is 25% of the total mixture, so the ratio will be 1/4, equating it we get,

$\frac{30+x}{150+x} =\frac{1}{4} \\120+4x=150+x\\3x=30\\x=10L$

Hence, the amount of water that needs to be added to the mixture is 10L.