SOLUTION: a 40% solution is to be mixed with a 60% solution to obtain 8 liters of a 55% solution. how many liters of each solution should be used

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Question 348538: a 40% solution is to be mixed with a 60% solution to obtain 8 liters of a 55% solution. how many liters of each solution should be used
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 40% solution.
Let B be the amount of 60% solution.
Volume eqaution:
1.A%2BB=8
Concentration equation:
40A%2B60B=55%288%29
2.2A%2B3B=22
Multiply eq. 1 by 2 and subtract it from eq. 2,
2A%2B3B-2A-2B=22-16
highlight%28B=6%29liters
Then from eq. 1,
A%2B6=8
highlight%28A=2%29liters