SOLUTION: You need 810 mL of a 30% alcohol solution. On hand, you have a 5% alcohol mixture and a 95% alcohol mixture. How much of each mixture will you need to obtain the desired solution?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You need 810 mL of a 30% alcohol solution. On hand, you have a 5% alcohol mixture and a 95% alcohol mixture. How much of each mixture will you need to obtain the desired solution?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 807978: You need 810 mL of a 30% alcohol solution. On hand, you have a 5% alcohol mixture and a 95% alcohol mixture. How much of each mixture will you need to obtain the desired solution?
How much of the 5% solution and how much of the 95% solution do I need?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This same exercise problem occurs very frequently, shown in many different examples.

ASSIGN VARIABLES
L = 5% alcohol
T = 30%, the concentration target
H = 95%, the high concentration material
M = 810 mL, amount of T conc. wanted
u = unknown amount of L material
v = unknown amount of H material

FORMULATE EQUATIONS
highlight%28%28Lu%2BHv%29%2FM=T%29 and highlight%28u%2Bv=M%29

SOLVE THE SYSTEM FOR u AND v.
You do the steps. The essential part (or maybe half of it) was to form the system of equations. The steps after that are routine.