Question

A mixture contains milk and water in the ratio of 12:5.
On adding 8 litres of water, the ratio of milk to water
becomes 4:3. Find the quantity of milk in the mixture.
Salect on​

Answer 1

Answer:

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Answer 2

Answer:

Required quantity of milk is 24 litres.

Step-by-step explanation:

Given a mixture contains milk and water.

Ratio of milk and water is $12:5$

Let quantity of milk be 12x litres and quantity of water be 5x litres.

Now we are adding 8 litres of water in the mixture.

Then water will become $(5x + 8)$litres

After adding water,the ratio becomes$4:3$

According to question,

$\frac{12x}{5x + 8} = \frac{4}{3}$

By cross multiplication,

$12x \times 3 = (5x + 8) \times 4$

$36x = 20x + 32$

$36x - 20x = 32$

$16x = 32$

$x = \frac{32}{16} = 2$

So quantity of milk is $(12 \times 2) = 24$litres

and quantity of water is $(5 \times 2) = 10$litres.