Question

A container contains 90 litres of milk from this container 9 litres milk was taken out and replaced with water and this process was repeated two times the quantity of milk in the mixture is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The amount of milk in the mixture is 72.9 liters.

Step-by-step explanation:

Given : A container contains 90 liters of milk from this container 9 liters milk was taken out and replaced with water and this process was repeated two times.

To find : The quantity of milk in the mixture is ?

Solution :

A container contains 90 liters of milk.

9 liters milk was taken out and replaced with water,

i.e. $1-\frac{9}{90}$

According to question,

The milk contained in container is

$=90\times (1-\frac{9}{90})^2$ liters

$=90\times (\frac{90-9}{90})^2$ liters

$=90\times (\frac{81}{90})^2$ liters

$=90\times \frac{81}{90}\times\frac{81}{90}$ liters

$=72.9$ liters

Therefore, The amount of milk in the mixture is 72.9 liters.