Question

Two vessels contain mixture of milk and water in the ratio 4 : 3 and 3 : 5 respectively. Find the ratio of the quantities from the two vessels to be mixed together so that the new mixture may contain same volume of milk and water.

Answer 1

Answer:

The ratio of milk and water in new mixture is 1:1

Step-by-step explanation:

$\begin{array}{|c|c|}\cline{1-2}Vessel-1&Vessel-2\\\cline{1-2}\text{Quantity of Milk=4x}&\text{Quantity of Milk=3k}\\\text{Quantity of Water=3x}&\text{Quantity of Water=5k}\\\cline{1-2}\end{array}$

When two vessels are mixed,

Quanitity of milk = Quantity of water

$\implies\:4x+3k=3x+5k$

$\implies\:x=2k$

In new mixture,

Quantity of Milk:Quantity of water

=(4x+3k):(3x+5k)

=(8k+3k):(6k+5k)

=11k:11k

=1:1