SOLUTION: A chemist has 10% and 16% acid solutions. How many liters of each solution are needed to produce 30 liters of a 14% acid solution?

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Question 319038: A chemist has 10% and 16% acid solutions. How many liters of each solution are needed to produce 30 liters of a 14% acid solution?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the volume of 10% solution.
Let B be the volume of 16% solution.
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The chemist has to produce 30 liters.
1.A%2BB=30
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The concentration of the 30 liters must be 14%.
10A%2B16B=14%2830%29
10A%2B16B=420
2.5A%2B8B=210
From eq. 1,
A=30-B
Substitute into eq. 2 and solve for B,
5%2830-B%29%2B8B=210
150-5B%2B8B=210
150%2B3B=210
3B=60
highlight%28+B=20%29
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Now go back to the previous equation,
A=30-B
A=30-20
highlight%28A=10%29
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Use 10 liters of 10% solution and 20 liters of 16% solution to get 30 liters of 14% solution.