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 of these solutions should be mixed tog

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Question 466314: 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 of these solutions should be mixed together to yield 2 liters of the desired concentration?
2.6% total amount of saline
x=8%of saline
y=2%of saline
together is 2 liters
x+y=2liters

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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 of these solutions should be mixed together to yield 2 liters of the desired concentration?
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x=8%of saline
y=2%of saline
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x + y = 2 (total solution)
0.08x + 0.02y = 0.026*2 (total salt)
4x + y = 2.6
y = 2-x
4x + 2-x = 2.6
3x = 0.6
x = 0.2
y = 1.8