SOLUTION: A chemist wants to mix a 66% alcohol solution with eight liters of a 54% alcohol solution to produce a solution that is 64% alcohol. How many liters of the 66% alcohol solution sho

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Question 1086442: A chemist wants to mix a 66% alcohol solution with eight liters of a 54% alcohol solution to produce a solution that is 64% alcohol. How many liters of the 66% alcohol solution should be used?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
66%=x l
54%=8 l
64%=(8+x) l
.66x+.54(8)=.64(8+x)
.66x+4.32=5.12+.64x
.02x=0.80
x=40 l
Check.
66% is only 2% from 64%, so it will need to bring up the 54%, which is 10% away. There needs to be 5 times as much 60% than 54%.