SOLUTION: A chemist wants to create a solution that is 24% acid. How many liters of a 40% acid solution must be added to 50 liters of a 14% acid solution to obtain this 24% acid mixture?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A chemist wants to create a solution that is 24% acid. How many liters of a 40% acid solution must be added to 50 liters of a 14% acid solution to obtain this 24% acid mixture?      Log On


   

Question 898941: A chemist wants to create a solution that is 24% acid. How many liters of a 40% acid solution must be added to 50 liters of a 14% acid solution to obtain this 24% acid mixture?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This answer is only if the acid is either mass per volume or volume per volume.

%2850%2A14%2Bv%2A40%29%2F%28v%2B50%29=24 using v for how much of the 40% acid to use.

%2825%2A14%2B20v%29%2F%28v%2B50%29=12
%2825%2A7%2B10v%29%2F%28v%2B50%29=6
175%2B10v=6v%2B300
4v=300-175
4v=125
v=125%2F4

v=31.3 LITERS