Question

A vessel contains 135 liters of water. How many liters of water must be removed

and replaced by squash concentrate so that proportion of water and squash concentrate

is 11 : 4?
​

Answer 1

Step-by-step explanation:

36litres of water must be removed.

135 - x : x = 11 : 4

135 - x/x = 11/4

4(135 - x) = 11x

540 - 4x = 11x

15x = 540

x = 36

Answer 2

36 liters of water should be removed.

Step-by-step explanation:

Given: A vessel contains 135 liters of water. Proportion of water and squash concentrate is 11:4.

Find: Amount of water to be removed.

Solution:

Let x be the amount of water to be removed, then:

135-x : x = 11:4

So we get 11 * x = 4 (135 - x)

     11x = 540 - 4x

      15x = 540

 Therefore x = 540 / 15 = 36

So 36 liters of water should be removed and punch should be added to get the required ratio.