SOLUTION: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add?

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Question 258822: A photographer is mixing 5% acetic acid solution with a 10% acetic acid solution to get 2 liters of a 7% solution. How many liters of each solution should he add?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
F-liters of 5% solution
T-liters of 10% solution
1.Volume equation:F%2BT=2
2.Concentration equation: 5F%2B10T=7%28F%2BT%29=7%282%29=14
Use eq. 1 to solve for F in terms of T and substitute into eq.2,
F%2BT=2
F=2-T
2. 5F%2B10T=14
5%282-T%29%2B10T=14
10-5T%2B10T=14
5T=4
T=4%2F5
Then from eq. 1,
F=2-T
F=10%2F5-4%2F5
F=6%2F5
Use 4/5 liter of 5% solution and 6/5 liter of 10% solution.