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 solut

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 solut      Log On


   

Question 839697: 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 josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Very typical exercise for a two part mixture.

u = volume of 15% salt
v = volume of 25% salt

%2815u%2B25v%29%2F10=21 and u%2Bv=10

This is a system of two linear equations in two unknown variables. Solve for u and v.

See lesson:
http://www.algebra.com/algebra/homework/word/mixtures/Mixtures%3A-All-in-Symbols.lesson