Question

A vessel contains a liquid is in order to form a mixture 37.5% of it is replaced by be 25% of mixture is replaced by

Answer 1

PLEASE COMPLETE THE QUESTION.

Answer 2

 The proportion of the solution of two liquids = 5 ∶ 3  

At the point when 10 liters of the solution is taken out and replaced by a similar amount of B, the proportion of An and B in the vessel becomes

10 ∶ 11.  

Solution:  

The proportion of two liquids An and B is = 5x: 3x

According to the question,

(5x - 5/8 x 10) / (3x - 3/8 x 10 + 10) = 10/11  

⇒ ((40x - 50) / 8) / ((24x - 30 +80) / 8) = 10/11  

⇒ (4x - 5)/(24x + 50) = 1/11  

⇒ 44x - 55 = 24x + 50  

⇒ 44x - 24x = 50 + 55  

⇒ 20x = 105  

⇒ x = 105/20 = 21/4

All out amount of liquids = (21/4) × 8 = 42 liters  

∴ The amount of the solution in the vessel was 42 liters.