SOLUTION: In a laboratory experiment, a student has a solution that is 40% alcohol and another solution that is 60% alcohol. He would like to come up with an 8-liter solution that i

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: In a laboratory experiment, a student has a solution that is 40% alcohol and another solution that is 60% alcohol. He would like to come up with an 8-liter solution that i      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1126938: In a laboratory experiment, a student has a solution that is 40% alcohol and another solution that is 60%
alcohol. He would like to come up with an 8-liter solution that is 55% alcohol. If you were the student, which of
the following will you choose that would best represent the situation. Use variable f for solution that has 40%

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x liters of 60%
8-x liters of 40%

60x%2B40%288-x%29=55%2A8
-
15x%2B10%288-x%29=55%2A2

3x%2B2%288-x%29=22

3x-2x%2B16=22

x=22-16

x=6

6 liters of the 60%
2 liters of the 40%


-----
also notice,
40, 45, 50,55, 60
The difference from 40% to 60% can be cut into four equal parts.
You want to go three fourths of the way from 40% to 60%.
Three fourths of 8 L is 6 L.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

In a laboratory experiment, a student has a solution that is 40% alcohol and another solution that is 60%
alcohol. He would like to come up with an 8-liter solution that is 55% alcohol. If you were the student, which of
the following will you choose that would best represent the situation. Use variable f for solution that has 40% 
Where are the "following?" 

One could be: highlight_green%28matrix%281%2C3%2C+.4f+%2B+.6%288+-+f%29%2C+%22=%22%2C+.55%288%29%29%29