SOLUTION: A photographer wishes to mix 2 liters of a 5% acetic acid solution with a 10% solution to get a 7% solution. How many liters of 10% solution must be added?

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Question 161215: A photographer wishes to mix 2 liters of a 5% acetic acid solution with a 10% solution to get a 7% solution. How many liters of 10% solution must be added?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A photographer wishes to mix 2 liters of a 5% acetic acid solution with a 10% solution to get a 7% solution. How many liters of 10% solution must be added?
:
Let x = amt of 10% solution required to accomplish this
:
Write a decimal equivalent equation:
.05(2) + .10x = .07(x+2)
:
.10 + .10x = .07x + .14
:
.10x - .07x = .14 - .10
:
.03x = .04
x = .04%2F.03
x = 11%2F3 liters of the 10% solution
:
:
Check
.05(2) + .10(1.33) = .07(1.33+2)
.10 + .133 = .07(3.33)
.233 = .233