how man liters of a 40% alcohol solution must be mixed with 60 liters of a 70% solution to get a 50% solution?

Question

The question is asking to solve in order to figure out how many liters will it tak.

Answer 1

70% of 60 liters of an alcohol solution contains 42 liters of pure alcohol.

 

If we add V liters of 40% alcohol we increase the alcohol content by 0.4V and the volume by V.

 

 

(42 + 0.4V) / (60 + V) = 0.5

 

42 + 0.4V = 30 + 0.5V

 

12 = 0.1 V

 

V = 120 liters

 

 

Geaux Tigers!