Question

Three containers have their volumes in the ratio of 3:4:5. They are full of mixtures of Milk and Water in the ratio of 4:1, 3:1 and 5:2 respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container will be ..........?

Answer 1

I think it will 1:3 but I m not sure

Answer 2

Answer:  Ratio of milk and water in the fourth container is 157:53.

Step-by-step explanation:

Since we have given that

Ratio of their volumes in three containers is given by

3:4:5

Ratio of milk and water in first = 4:1

Ratio of milk and water in second = 3:1

Ratio of milk and water in third = 5:2

So, Ratio of milk and water in fourth container is given by

$\dfrac{3}{12}\times \dfrac{4}{5}+\dfrac{4}{12}\times \dfrac{3}{4}+\dfrac{5}{12}\times \dfrac{5}{7}:\dfrac{3}{12}\times \dfrac{1}{5}+\dfrac{4}{12}\times \dfrac{1}{4}+\dfrac{5}{12}\times \dfrac{2}{7}\\\\\\=\dfrac{1}{12}(\dfrac{12}{5}+\dfrac{12}{4}+\dfrac{25}{7}):\dfrac{1}{12}(\dfrac{3}{5}+\dfrac{4}{4}+\dfrac{10}{7})\\\\\\=\dfrac{336+420+500}{140}:\dfrac{84+140+200}{140}\\\\\\=1256:424\\\\\\=157:53$

Hence, Ratio of milk and water in the fourth container is 157:53.