Question 1164335: A chemist wishes to mix a solution that is 10% acid. She has on hand liters of a 6% acid solution and wishes to add some 14% acid solution to obtain the desired 10% acid solution. she has on hand 6 liters of a 6% acid solution and wishes to add some 14% acid solution to obtain desired 10% acid solution. How much 14% acid solution should she add?
Found 5 solutions by josgarithmetic, greenestamps, MathTherapy, markjames, ikleyn:
Answer by josgarithmetic(39630)   (Show Source):
Answer by greenestamps(13209)  (Show Source):
You can put this solution on YOUR website!
Common sense says that, since 10% is halfway between 6% and 14%, the two ingredients must be mixed in equal amounts.
ANSWER: 6L of the 14% acid.
Answer by MathTherapy(10556)  (Show Source):
You can put this solution on YOUR website!
S/B: A chemist wishes to mix a solution that is 10% acid. She has on hand 6 liters of a 6% acid solution and wishes to add some 14% acid solution to obtain desired 10% acid solution. How much 14% acid solution should she add?
The 6% solution will increase to 10%, an increase of 4%.
The 14% will be reduced to 10%, a reduction of 4%.
Therefore, the same amount of 6% and 14% solutions need to be mixed.
So, 6 liters of each is needed.
OR
Let amount of 14% solution to mix, be F
Then we get: .06(6) + .14F = .1(6 + F)
.36 + .14F = .6 + .1F
.14F - .1F = .6 - .36
.04F = .24
Amount of 14% solution to mix, or 
Answer by markjames(1)  (Show Source):
Answer by ikleyn(52879)  (Show Source):
You can put this solution on YOUR website! .
The person with nick-name @markjames came with the absurdist answer "7.5 litters" without any explanations.
Simply ignore it as if it NEVER was here and as if you NEWER SAW it.
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