SOLUTION: Kevin operates a soybean farm. He buys many supplies in the bulk. Often the bulk products need to be custom mixed before Kevin can use them. Jo apply herbicide to a large field he

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Kevin operates a soybean farm. He buys many supplies in the bulk. Often the bulk products need to be custom mixed before Kevin can use them. Jo apply herbicide to a large field he       Log On


   

Question 704186: Kevin operates a soybean farm. He buys many supplies in the bulk. Often the bulk products need to be custom mixed before Kevin can use them. Jo apply herbicide to a large field he must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution. How much of the 67% solution must he use? Write a system of equations to find how much of the 67% solution must he use. Identify the variables, write the equation, solve the system by using Elimination or Substitution methods.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This same question is asked many times in many ways for so many situations.
x amount of low concentration material = unknown
L concentration of low conce. material = 0.46
y amount of higher concentration material = unknown
H concentration of higher conc. material =0.67
T Target concentration wanted in the mixture = 0.55
a amount of target concentration mixture =42 liter

Your system of equations to solve:
x%2By=a+liters
%28x%2AL%2By%2AH%29%2Fa=T

Start from the system by multiplication of the T equation by a.
x%2AL%2By%2AH=a%2AT
Use the liters equation to substitute for either x or y in the adjusted T equation, and continue...