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An acetaminophen suspension for infants contains 80mg/0.80ml suspension. the recommended dose is 15mg/kg body weight. how many ml of this suspension should be given to an infant weighing 14lbs.

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There are 3 steps to find the answer.

Step 1:
Convert 14 pounds (lb) to kg
2.2 lb=1 kg
This is a proportion setup

14 lbs/x kg = 2.2 lbs/1kg
Cross multiply
(14*1) = (x*2.2)
14=2.2x
Divide both sides by 2.2
14/2.2=x
x = 6.36 kg equals 14 lbs

Step 2:
Find recommended dose (mg) with infant's weight (kg)

15 mg/1 kg = x mg/6.36 kg
Cross multiply
(1*x)=(15*6.36)
x= 95.4 mg recommended dose

Step 3:
Find recommended dose in ml with given medication (80mg/0.80 ml)

80 mg/0.80mL = 95.4 mg/x ml
Cross multiply
(80*x) = (0.80*95.4)
80x=76.32
Divide both sides by 80
x = 0.954 ml recommended dose for 14 lbs

Hope this helps! :)

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