SOLUTION: The specifications of a solution require 6.5 liters of a 26% solution. There are premixed solutions of 10% and 50%. Write a system of equations in terms of x and y to calculate the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The specifications of a solution require 6.5 liters of a 26% solution. There are premixed solutions of 10% and 50%. Write a system of equations in terms of x and y to calculate the      Log On


   

Question 756227: The specifications of a solution require 6.5 liters of a 26% solution. There are premixed solutions of 10% and 50%. Write a system of equations in terms of x and y to calculate the number of liters of each premixed solution that you must use to create the specified solution.
Solve the system of equations to determine how many liters of each solution you need to use.
Number of liters of 10% solution...
Number of liters of 50% solution...
Someone has ordered 1 liter of 5% solution. Can you create this solution? Explain.
Someone else has ordered 3 liters of a 64% solution. Can you create this solution? Explain.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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%28%28Lx%2BHy%29%2FM=T%29 and highlight%28x%2By=M%29

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.