A container contains pure milk. From these 4 litres of milk taken out and replaced by water. This process is repeated for one more time and the remaining milk in the container is 12.8 litres. What is the initial quantity of milk in the container?

Respuesta :

Answer: 22.7556 liters

Step-by-step explanation:

fter the first operation, when 4 liters of milk are taken out and replaced by water, the quantity of milk in the container becomes

0.75

0.75M (since 25% of

M is replaced by water).

After the second operation, again 4 liters of milk are taken out and replaced by water. At this point, the quantity of milk in the container becomes

0.75

×

0.75

0.75×0.75M, which is

0.5625

0.5625M.

According to the given information, the remaining milk in the container after the two operations is 12.8 liters. Therefore, we can set up an equation:

0.5625

=

12.8

0.5625M=12.8

Now, we can solve for

M:

=

12.8

0.5625

M=

0.5625

12.8

22.7556

M≈22.7556