Question 756227
ASSIGN VARIABLES
M=6.5 liters
L=10% solution
H=50% solution
T=26% solution.  Notice T for TARGET, the value wanted.
x=how many liters of the 10%
y=liters of the 50%


FORMULATE SYSTEM OF EQUATIONS
{{{highlight((Lx+Hy)/M=T)}}} and {{{highlight(x+y=M)}}}


Solve the system for x and y keeping all in symbols (variables).  Substitute the given known values to find values for x and y.


You have also two more questions, one of which can be solved using the same formulas you would have found for x and y.  The given values are different, but the same problem you have already solved in general.  You will note that the second of these extra questions specifies a concentration beyond the concentration you have available to you.