SOLUTION: A dehydrated patient needs a 3.6% saline IV. Unfortunately, the hospital only has bags of 2% and 4% saline solutions. How many liters of each of these solutions should be mixed tog

Question 354034: A dehydrated patient needs a 3.6% saline IV. Unfortunately, the hospital only has bags of 2% and 4% saline solutions. How many liters of each of these solutions should be mixed together to yield 1 liter of the desired concentration?
Found 2 solutions by sofiyac, mananth:
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
Let x be the number of liters of 2% saline solution. Since the desired product is 1 liter solution, then the number of liters of 4% saline solution will be 1-x.
simplify
combine like terms
subtract 4 from each side

divide both sides by -2
so we will need 0.2 liters of the 2% solution, and 1-0.2=0.8 liters of the 4% solution.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let 2% solution added be x liters
4% will be 1-x liters
..
mix = 3.6% 1 liter
...
0.02x +0.04(1-x)= 1*0.036
0.02x+0.040-0.04x=0.036
-0.02x=-0.004
x =0.2 liters of 2% solution
balance -4% will be 0.8 liters
...
m.ananth@hotmail.ca
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