Question

6. In a mixture, ink and water are in the ratio of 8:
5. If 24 litres of water is added to the mixture, then
the new ratio becomes 8 : 11. What is the total
quantity (in litres) of water in the new mixture?
पाक शिक्षा में समाही और पानी का अनपात 8.5 है। यदि मिश्रण​

Answer 1

Answer:

44 litre

Step-by-step explanation:

Since the ratio is 8:5, let the quantity of water be 5x and that of ink be 8x.

 When 24 litres of water is added to the mixture, new ratio becomes 8 : 11.

Quantity of water = 5x + 24

Quantity of ink = 8x

  thus,

⇒ New ratio = 8 / 11

⇒ 8x / (5x + 24) = 8/11

⇒ 11(8x) = 8(5x + 24)

⇒ 88x = 40x + 192

⇒ 88x - 40x = 192

⇒ 48x = 192

⇒ x = 192/48 = 4

   hence,

quantity of water(in new) = 5x + 24

                                = 5(4) + 24 = 44 litre

Answer 2

Given :-

Ratio of mixture = 8:5

When 24 added litres of water is added to the mixture, then

the new ratio becomes 8 : 11.

To Find :-

New ratio

Solution :-

Let the ratio be 8x and 5x

Now

When 24 added to water

Water = 5x + 24

Ink = 8x

So,

New ratio is 8:11

8x/5x + 24 = 8/11

By cross multiplication

11(8x) = 8(5x + 24)

88x = 40x + 192

88x - 40x = 192

48x = 192

x = 192/48

x = 4

Therefore,

5(4) + 24 = 44 litre