Hi,

Let x represent the 24% saline solution (76% water

 water = water

  .76x + 1.00(5gal) = .91(x + 5gal)

        .09(5gal)/.15  = x

          

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
 The densities may be needed.

24%, about 1.19 g/ml

9%, about 1.07 g/ml

WATER, 1.00 g/ml and 1 gallon = 3.7854 liters





5 gallons of water is  liters





The question could be restated as ,  how many liters of 24% w/vol saline must be mixed with 18.927 liters of water to make 9% w/vol. solution?



Start the solution process assigning variables:

u = volume liters of the 24% w/vol. saline





WRONG--SEE BELOW!___ -------densities seem not to be needed.





Change the result for u back to gallons from the liters.

-

The attempt at unit checking was overdone and created confusion.  Since densities were not needed, the more typical setup should simply be:



and this will give  liters, which converts to 3 gallons.

RESULT:  of 24% w/v saline. 

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