One acetic acid solution is 60% water and another is 40% water.How many liters of each solution should be mixed to produce 20 liters of a solution that is 49% water?
A) 5 liters of the 60% solution and 15 liters of the 40% solution
B) 9 liters of the 60% solution and 11 liters of the 40% solution
C) 15 liters of the 60% solution and 5 liters of the 40% solution
D) 6 liters of the 60% solution and 14 liters of the 40% solution
E) 14 liters of the 60% solution and 6 liters of the 40% solution

Question

Quizplus · Accepted Answer

Let x be the number of liters of the 60% solution to be mixed, then 20 - x is the number of liters of the 40% solution to be mixed. 
The equation to solve is: 
0.6x + 0.4(20 - x) = 0.49(20) 
Solving for x, we get x = 9. 
Therefore, we need 9 liters of the 60% solution and 20 - 9 = 11 liters of the 40% solution. 
So, the answer is choice B.

One Acetic Acid Solution Is 60% Water and Another Is