SOLUTION: a lab technician needs to combine some 30% alcohol sloution and 35% alchool solution to make 5 l of 33% alcohol solution. How many litres of the 30% and of the 35% solution will be

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Question 184235: a lab technician needs to combine some 30% alcohol sloution and 35% alchool solution to make 5 l of 33% alcohol solution. How many litres of the 30% and of the 35% solution will be used?
thnxx
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
.35X+.30(51-X)=51*.33
.35X+15.3-.30X=16.83
.05X=16.83-15.3
.05X=1.53
X=1.53/.05
X=30.6 LITERS OF 35% ALCOHOL IS NEEDED.
51-30.6=20.4 LITERS OF 30% ALCOHOL IS ALSO NEEDED.
PROOF:
.35*30.6+.30*20.4=16.83
10.71+6.12=16.83
16.83=16.83