SOLUTION: 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.

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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(39617)   (Show Source): You can put this solution on YOUR website!
To use y liters of the 14%, 
          PERCENT      QTY (Liters)    PURE

           6             6              6*6

          14           y               14y

WANTED    10          y+6             6*6+14y

--------solve for y.
-




Answer by greenestamps(13199)   (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(10552)   (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): You can put this solution on YOUR website!
 7.5 litters of 14% acid solution. 

Answer by ikleyn(52778)   (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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