Question

in 4 litres of milk and water mixture the concentration of milk is 80% a woman takes out 20 %of the total mixture and add the same amount of water with the total quantity of new mixture she wants to prepare coffee where the concentration of water should be 60% how many litres of more water she will require to prepare the coffee ​

Answer 1

Answer:

The correct answer is 2.4 liters

Step-by-step explanation:

Given: In 4 liters of milk and water mixture , the concentration of milk which 80% a woman takes out 20 %of the total mixture and adds the same amount of water with the total quantity of the new mixture she wants to prepare coffee where the concentration of water should be 60%

To find: How many liters of more water the woman will require to prepare the coffee ​

Calculation:

The quantity of water in 4% of mixture = 20% of 4 = 0.8

The quantity of milk = 80 % * 4 = 3.2 liters

In the given 20% of mixture ( 20% * 4) = 0.8 liters

quantity of milk = 80 % * 0.8 = 0.64L

quantity of water = 20% * 0.8 = 0.16 L

The women adds the same concentration (quantity) of water,

So, there become a new mixture in which,

the quantity of milk = (3.2 - 0.64) = 2.56L

quantity of water = (0.8 - 0.16 + 0.8) = 1.44L

Total quantity of mixture = 4L

Let the liters of water the woman requires be x then,

= 1.6 + 0.4x = 2.56

= 0.4x = 2.56 - 1.6 = 0.96

= x = 2.4L

The required water she needs to make a coffee is = 2.4 liters

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