SOLUTION: A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of 8% and 2% saline solutions. How many liters of each solutions should be mixed together to

Question 372765: A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of 8% and 2% saline solutions. How many liters of each solutions should be mixed together to yield 2 liters of the desired concentration.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = liters of 8% solution needed
Let = liters of 2% solution needed
In words:
(liters of saline)/(liters of solution) = 2.6%
(1)
(2)
------------------
From (1):
(1)
(1)
Multiply both sides of (2) by and
subtract from (1)
(1)
(2)

And, since

.2 liters of 8% solution and 1.8 liters of 2% solution are needed
check answer:
(1)
(1)
(1)

OK
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