SOLUTION: You have two saltwater solutions. One consists of 20% salt, and the other consists of 15% salt. A. If you want to add these two together to make 5 gallons of a 17% solution, ho

Algebra ->  Absolute-value -> SOLUTION: You have two saltwater solutions. One consists of 20% salt, and the other consists of 15% salt. A. If you want to add these two together to make 5 gallons of a 17% solution, ho      Log On


   

Question 616398: You have two saltwater solutions. One consists of 20% salt, and the other consists of 15% salt.
A. If you want to add these two together to make 5 gallons of a 17% solution, how much of each solution should you add?
B. If you wanted to make 5 gallons of a 19% solution, what volume of each solution should you add?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Do them like this:
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if a 14% acid solution is mixed with a 19% acid solution to produce 45 gallons of a 15% acid solution how much (in gallons) of each solution should be used?
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f = 14%
n = 19%
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f + n = 45 (total gallons)
14f + 19n = 15*45 (total acid)
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n = 45 - f
Sub for n
14f + 19*(45-f) = 675
14f + 855 - 19f = 675
-5f = -180
f = 36 gallons of 14%
n = 9 gallons of 19%