A child's pain relief elixir contains 80 mg acetaminophen per.50 teaspoon. The dosage recommended for a child who weighs between 24 and 35 lbs is 1.5 teaspoons. What is the range of acetaminophen dosages expressed in mg aceteminophen/kg of body weight for child who weigh between 24 and 35 lbs?

80 mg/0.5 teaspoon (you need to stick that 0 before the .5; otherwise the . sometimes gets overlooked) = 160 mg/teaspoon. So how much is that per 1.5 teaspoons?

160 mg/teaspoon x 1.5 teaspoons = 240 mg acetaminophen.
Now you need to convert 24 lbs and 35 lbs to kg. 2.2 lbs = 1 kg.
The range then, per kg, will be 240 mg/??kg and 240 mg/?? kg where ??kg is the 24 and 35 lb numbers for kg.
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To determine the range of acetaminophen dosages expressed in mg acetaminophen/kg of body weight for children who weigh between 24 and 35 lbs, we need to follow these steps:

Step 1: Convert pounds to kilograms:
To convert pounds to kilograms, divide the weight in pounds by 2.2046 (1 kg = 2.2046 lbs).
24 lbs ÷ 2.2046 = 10.886 kg (rounded to three decimal places)
35 lbs ÷ 2.2046 = 15.875 kg (rounded to three decimal places)

Step 2: Calculate the range of doses:
The dosage for the child is 1.5 teaspoons, and each 0.5 teaspoon contains 80 mg of acetaminophen.

For 24 lbs (10.886 kg):
1.5 teaspoons = 0.5 teaspoon * 3
Dosage = 3 * 80 mg = 240 mg
Dosage per kg = 240 mg / 10.886 kg = 22.06 mg/kg (rounded to two decimal places)

For 35 lbs (15.875 kg):
1.5 teaspoons = 0.5 teaspoon * 3
Dosage = 3 * 80 mg = 240 mg
Dosage per kg = 240 mg / 15.875 kg = 15.13 mg/kg (rounded to two decimal places)

Therefore, the range of acetaminophen dosages expressed in mg/kg of body weight for children who weigh between 24 and 35 lbs is approximately 15.13 mg/kg to 22.06 mg/kg.