Question

the ratio of milk and water in a mixture is 4:5.how much mixture is replaced by water so that the ratio of milk and water will be 2:3

Answer 1

Step-by-step explanation:

Given:

• The ratio of milk and water in a mixture

To Find:

• Amount of mixture must be replaced by water so that the ratio of milk and water will be 2:3

Solution:

Let x l amount be replaced

ACQ,

$\therefore \: \tt \leadsto \frac{4 - x}{5 - x} = \frac{2}{3} \\ \tt \leadsto3(4 - x) = 2(5 - x) \\ \tt \leadsto12 - 3x = 10 - 2x \\ \tt \leadsto - 3x + 2x = 10 - 12\\ \tt \leadsto - x = - 2 \\ \tt \leadsto \: x = 2$

Amount of mixture must be replaced by water so that the ratio of milk and water will be 2:3=2 litre