Question

24 liters of a mixture contain milk and water in the ratio of 1 : 5 . if 6 liters of the mixture are replaced by 6 liters of milk, the ratio of milk to water in the new mixture will be

Answer 1

Answer:

Ratio of milk to water in the new mixture = 3 : 5

Step-by-step explanation:

Ratio of milk and water in the mixture = 1 : 5

Sum of ratios = 1 + 5 = 6

Total mixture which is not replaced = 24 - 6 = 18 liters

$\text{Amount of milk in the mixture = }\frac{\text{Ratio of milk}}{\text{Sum of ratios}}\times \text{Total mixture}\\\\\text{Amount of milk = }\frac{1}{6}\times 18\\\\\text{Amount of milk = }3\thinspace liters$

Now, 6 liters of mixture is replaced by 6 liters of milk, Therefore new quantity  of milk = 3 + 6 = 9 liters

Amount of water in the mixture = 24 - 9

                                                     = 15 liters

Hence, Ratio of milk to water in the new mixture will be 9 : 15

                                                                                               = 3 : 5