Question

There are 81 ltr pure milk in a container .one-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added.what is the ratio of milk to water in the new mixture?

Answer 1

Answer:

Step-by-step explanation:So we have 81 ltrs of pure milk .

Now we have to replace 1/3 of the milk with water .

=> 81*1/3 = 27

Now we have 27 lts of water and 54ltrs of milk and 81lts of total mixture .

The ratio of milk and water in the mixture is

=> 54:27 , => 2:1.

Again we will replace 1/3 of mixture I.e 27ltrs by 27ltrs of water . And this water and milk will separated in ratio of 2:1 because the mixture has milk and water in same ratio, and every we will taken any amount of mixture the milk and water will come in same ratio.

So we have to divide 27 into a ratio of 2:1 . I.e 18 and 9 . 18l will the amount of milk and 9l of water.

Now the total amount of water in mixter in new mixture =27–9+27= 45ltrs

And the amount of milk in mixture is 81–45= 36ltrs.

So the required ratio of milk and water .

36:45 => 4:5.

Answer 2

one-third + one-third because 81 l is pure milk