SOLUTION: A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags of 4% and 3% saline solutions. How many liters of each of these solutions should be mixed to

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags of 4% and 3% saline solutions. How many liters of each of these solutions should be mixed to      Log On


   



Question 534094: A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags of 4% and 3% saline solutions. How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration?
Answer by lwsshak3(11628) About Me  (Show Source):
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A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags of 4% and 3% saline solutions. How many liters of each of these solutions should be mixed together to yield 5 liters of the desired concentration?
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let x=liters of 4% solutions to be mixed with the 3% solution
5-x=liters of 3% solution to be mixed with the 4% solution
..
4%(x)+3%(5-x)=3.82%(5)
.04x+.15-.03x=.191
.01x=.041
x=4.1
5-x=0.9
ans:
4.1 liters of 4% solution to be mixed
0.9 liters of 3% solution to be mixed