Question

Sanjay has a can with 9 litres of milk in it. He takes out 3 litres of milk from it and adds 3 litres of water.He mixes them well andtakes out 3 litres of the mixture from the can and pours 3 litres of water.What is the ratio of milk to water in the can now

Answer 1

Answer:

The ratio of milk and water would be 4 : 5

Step-by-step explanation:

Since, when quantity y is taken from pure mixture of quantity x and its poured by y quantity of other mixture, also, this procedure is repeated n times,

Then the final amount of the pure mixture,

$x(1-\frac{y}{x})^n$

Here, x = 9 litres, y = 3 litres, n = 2,

Thus, the final quantity of pure milk

$=9(1-\frac{3}{9})^2$

$=9(\frac{9-3}{9})^2$

$=9(\frac{6}{9})^2$

$=\frac{36}{9}$

$=4\text{ litres}$

Also, the final quantity of water in the mixture = 9 - 4 = 5 litres

Hence, the ratio of milk to water = $\frac{4}{5}$

# Learn more :

A 80 litres tank was full of milk. 40% of it was sold and the rest was poured into a 50 litre tank. What % of 50 litre tank was filled with the milk

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