SOLUTION: A chemist needs 10 L of 21% salt solution. The chemist has two salt solutions available at 15% and 25% salt. Write and solve a linear system to find the volume of each solution

Algebra ->  Linear-equations -> SOLUTION: A chemist needs 10 L of 21% salt solution. The chemist has two salt solutions available at 15% and 25% salt. Write and solve a linear system to find the volume of each solution      Log On


   

Question 840681: A chemist needs 10 L of 21% salt solution.
The chemist has two salt solutions available
at 15% and 25% salt. Write and solve a
linear system to find the volume of each
solution that needs to be combined to make
the mixture.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent the amount of 25% solution

 .25x + .15(10L-x) = .21*10L

      x = .06*10L/.1= 6L, the amount of 25% solution  

then do the subtraction (10L-x)to find the amount of the 15% solution