SOLUTION: 9. 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

Algebra.Com
Question 490981: 9. 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?

Hello, can someone, anyone please help me with this, thanks so much!!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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?
--------------------
Equation:
salt + salt = salt
----
0.06x + 0.08(1-x) = 0.064*1
-----
Multiply thru by 1000 to get:
60x + 80 - 80x = 64
------------------------
-20x = -16
x = 0.8 liters (amt. of 6% solution needed)
1-x = 0.2 liters (amt. of 8% solution needed)
================================================
Cheers,
Stan H.

RELATED QUESTIONS

A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital only has bags... (answered by Fombitz)
A dehydrated patient needs a 6.4% saline IV. Unfortunately, the hospital only has bags of (answered by ewatrrr)
A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of (answered by nerdybill)
A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of (answered by ankor@dixie-net.com)
A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags... (answered by mananth)
A dehydrated patient needs a 2.6% saline IV. Unfortunately, the hospital only has bags of (answered by josmiceli)
A dehydrated patient needs a 3.6% saline IV. Unfortunately, the hospital only has bags of (answered by sofiyac,mananth)
A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags... (answered by ewatrrr)
A dehydrated patient needs a 6.8% saline IV. Unfortunately, the hospital only has bags of (answered by stanbon)
A dehydrated patient needs a 3.82% saline IV. Unfortunately, the hospital only has bags... (answered by lwsshak3)