Question

The ratio of petrol and kerosene in a container is 3:2. When 10 litres of the mixture are taken out and is replaced by so many litres of kerosene, the ratio becomes 2:3. The total quantity of the mixture in the container is

Answer 1

Answer:

Total quantity of the mixture in the container is 30 liters.

Step-by-step explanation:

Given: Initial ratio of Petrol and Kerosene in the mixture = 3 : 2

to find: Total quantity of the mixture in the container

Let Quantity of Petrol in mixture be 3x and Quantity of Kerosene in mixture be 2x.

⇒ Total Quantity of Mixture = 3x + 2x = 5x

According to question,

Quantity of Petrol in mixture = 3x - 10 × (3/5) = 3x - 6

Quantity of Kerosene in mixture = 2x - 10 × (2/5)  + 10 = 2x - 4 + 10 = 2x + 6

$\frac{3x-6}{2x+6}=\frac{2}{3}$

3( 3x - 6 ) = 2( 2x + 6 )

9x - 18 = 4x + 12

5x = 30

x = 6

Total Quantity of Mixture =5x = 5(6) = 30 liters

Therefore, Total quantity of the mixture in the container is 30 liters.