Question

The ratio of milk and water in 64 litres of a mixture is 5 : 3. What amount of water should be added to make the ratio 3 : 5 ?

Answer 1

Answer:

4.3

Step-by-step explanation:

let the initial water be x

ATQ,

$\frac{5}{3} = \frac{64 - x}{x} \\ 5x = 192 - 3x \\ 8x = 192 \\ x = \frac{192}{8} \\ x = 24 \: lit$

$thus \: the \: milk \: is \: 40 lit... \\ \: and \: water \: is \: 24lit. \: \\ therefore.. \\ let \: the \: excess \: water \: be \: a.</p><p> \\ \frac{40}{24 + a} = \frac{3}{5} \\ 200 = 72 + 3a \\ 128 = 3a \\ a = \frac{128}{3} \\ a = 4.29 = 4.3(approx.)$