SOLUTION: A chemist mixes a 8% alcohol solution with a 14% alcohol solution to make 600 milliliters of a 12% alcohol solution. How many milliliters of each solution does the chemist use?

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Question 408146: A chemist mixes a 8% alcohol solution with a 14% alcohol solution to make 600 milliliters of a 12% alcohol solution. How many milliliters of each solution does the chemist use?
I need help on how to set the problem up and the answer. If possible, can you show your work, step by step?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (600-x)represent the amounts of the 14% and 8% solutions respectively

Question states***

 .14x + .08(600-x) = .12*600ml

Solving for x

       .06x =  .04*600ml  x = 400ml, amount of 14%,  200ml of 8%.  (600ml-400ml))

CHECKING our Answer***

  .14*400 + .08*200 = 56 + 16 = 72 =  .12*60