Question

A vessel contains 30% of milk and 70% of water. another vessel with double the capacity of the first one contains 70% of milk and 30% of water. if both the mixtures are mixed, what is the concentration of milk in the mixture?

Answer 1

Let the total capacity of the first vessel be x

The total capacity of the second vessel is 2x

Ratio of the first vessel = milk : water = 30% : 70%

⇒ milk : water = 3x : 7x

Ratio of the second vessel = milk : water = 70% : 30%

⇒ milk : water = 7(2x) : 3(2x)

⇒ milk : water = 14x : 6x

When both vessels are added together:

⇒ milk : water = 3x + 14x  : 7x + 6x

⇒ milk : water = 17x  : 13x

Answer: The ratio of milk : water is 17 : 13