SOLUTION: Can someone please help me with this word problem so that I may use as a guideline for similar problems. A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital

Algebra ->  Expressions-with-variables -> SOLUTION: Can someone please help me with this word problem so that I may use as a guideline for similar problems. A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital      Log On


   

Question 372101: Can someone please help me with this word problem so that I may use as a guideline for similar problems.
A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital only has bags of 6% and 8% saline solutions. How many liters of each of these solutions should be mixed together to yield 1 liter of the desired concentration?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent the amount of the 8% solution, 

then (1L-x) would be the amount of the 6% solution

.08x + .06(lL -x) = .064*1L

solving for x

.08x + .06*1L - .06x = .064*1L

.02x = .004L

x = .2L of the the 8% solution and .8L of the 6% solution   (1L-.2L)



Note: solution problems of ALL types are solved in a similar manner