SOLUTION: What is the mathematical expression of this. The percentage of alcohol in a mixture formed by combining 1 liter of pure water and x liters of 40% alcohol solution

Algebra ->  Human-and-algebraic-language -> SOLUTION: What is the mathematical expression of this. The percentage of alcohol in a mixture formed by combining 1 liter of pure water and x liters of 40% alcohol solution       Log On


   

Question 1188285: What is the mathematical expression of this. The percentage of alcohol in a mixture formed by combining 1 liter of pure water and x liters of 40% alcohol solution
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the mathematical expression of this.
The percentage of alcohol in a mixture formed by combining 1 liter of pure water and x liters of 40% alcohol solution
~~~~~~~~~~~~~ 

The percentage of alcohol in a mixture = %28%280.4x%29%2F%28x+%2B+1%29%29%2A100.


Notice that the last multiplier, 100, is used to get the percentage.


0.4x is the volume of the alcohol in your mixture.


(x+1) in the denominator is the volume of the new formed mixture.

Solved and explained in all details.