Question

A dishonest milkman mixed 1 litre of water for every 3 litres of milk and thus made up 36 litres of milk. If he now adds 15 litres of milk to the mixture, find the ratio of milk and water in the new mixture. A.

Answer 1

Answer: 14:3

Milk: water

3 : 1

Mixture 36 is

27 : 9

+15

42:9

14:3

Step-by-step explanation:

Answer 2

Given - Quantity of water and milk in mixture

Find - Ratio of milk to water in new mixture.

Solution - Firstly finding the amount of milk and water in the original mixture. Let the amount of water be x litres and amount of milk in the mixture be 3x. Representing this in mathematical form and solving it to find the value of x.

x + 3x = 36

4x = 36

x = 9

Thus, mixture has -

Water = x

Water = 9 litres

Milk = 3x

Milk = 3*9

Milk = 27 litres

Now, in the new mixture milk is added.

So amount of milk in the mixture = 27 + 15

Amount of milk in the mixture = 42 litres

Total amount of mixture = 36 + 15

Total amount of mixture = 51

Now, we have 9 litres of water and 42 litres of milk in new mixture. The amount of new mixture is 51 litres.

So, Ratio of milk to water = 42:9

Ratio of milk to water = 14:3

Thus, ratio of milk to water is 14:3.