You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours. You want entries for children weighing 10 pounds, 15 pounds, and 30 pounds. The drug comes in a 200 mg/5 ml formula. If 1 teaspoon = 5 ml, how many teaspoons are required for each entry? Round your answer to the nearest 14
teaspoon.
To calculate the dosage amounts for each entry, we can use the formula:
Dosage (in mg) = (Body weight in pounds / 2.2 pounds) * 40 mg
Now let's calculate the dosage for each child:
1) For a child weighing 10 pounds:
Dosage (in mg) = (10 pounds / 2.2 pounds) * 40 mg
= (4.54) * 40 mg
= 181.6 mg
As the drug comes in a 200 mg/5 ml formula, we can calculate the number of milliliters needed:
Milliliters = (Dosage in mg / 200 mg) * 5 ml
= (181.6 mg / 200 mg) * 5 ml
= (0.908) * 5 ml
= 4.54 ml
Since 1 teaspoon is equal to 5 ml, the number of teaspoons required is 4.54 ml divided by 5 ml per teaspoon:
Teaspoons = 4.54 ml / 5 ml
= 0.908 teaspoons
Rounded to the nearest 1/4 teaspoon, the number of teaspoons required is approximately 1 teaspoon.
2) For a child weighing 15 pounds:
Dosage (in mg) = (15 pounds / 2.2 pounds) * 40 mg
= (6.82) * 40 mg
= 272.8 mg
Milliliters = (272.8 mg / 200 mg) * 5 ml
= (1.364) * 5 ml
= 6.82 ml
Teaspoons = 6.82 ml / 5 ml
= 1.364 teaspoons
Rounded to the nearest 1/4 teaspoon, the number of teaspoons required is approximately 1.25 teaspoons.
3) For a child weighing 30 pounds:
Dosage (in mg) = (30 pounds / 2.2 pounds) * 40 mg
= (13.64) * 40 mg
= 545.6 mg
Milliliters = (545.6 mg / 200 mg) * 5 ml
= (2.728) * 5 ml
= 13.64 ml
Teaspoons = 13.64 ml / 5 ml
= 2.728 teaspoons
Rounded to the nearest 1/4 teaspoon, the number of teaspoons required is approximately 2.75 teaspoons.
To calculate the dosage amounts in teaspoons for each entry, we need to follow these steps:
Step 1: Convert the weights from pounds to kilograms:
- 10 pounds = 10/2.2 = 4.55 kilograms
- 15 pounds = 15/2.2 = 6.82 kilograms
- 30 pounds = 30/2.2 = 13.64 kilograms
Step 2: Calculate the recommended dosage for each weight:
- Weight of 4.55 kg: (40 mg * 4.55 kg) / 2.2 = 82.18 mg per dose
- Weight of 6.82 kg: (40 mg * 6.82 kg) / 2.2 = 124.36 mg per dose
- Weight of 13.64 kg: (40 mg * 13.64 kg) / 2.2 = 249.09 mg per dose
Step 3: Determine the number of doses needed per day:
- The recommended dosage is divided into three daily doses.
Step 4: Calculate the total daily dosage for each weight:
- Weight of 4.55 kg: 82.18 mg * 3 = 246.54 mg/day
- Weight of 6.82 kg: 124.36 mg * 3 = 373.08 mg/day
- Weight of 13.64 kg: 249.09 mg * 3 = 747.27 mg/day
Step 5: Calculate the number of teaspoons needed for each total daily dosage:
- For the 200 mg/5 ml formula, each teaspoon contains 200 mg.
- Calculate the number of teaspoons needed.
- Weight of 4.55 kg: 246.54 mg/day / 200 mg/teaspoon = 1.23 teaspoons
- Weight of 6.82 kg: 373.08 mg/day / 200 mg/teaspoon = 1.87 teaspoons
- Weight of 13.64 kg: 747.27 mg/day / 200 mg/teaspoon = 3.74 teaspoons
Rounding these values to the nearest 1/4 teaspoon:
- Weight of 4.55 kg: 1.23 teaspoons ≈ 1.25 teaspoons
- Weight of 6.82 kg: 1.87 teaspoons ≈ 1.75 teaspoons
- Weight of 13.64 kg: 3.74 teaspoons ≈ 3.75 teaspoons
Therefore, for each weight entry:
- 10 pounds ≈ 4.55 kg requires approximately 1.25 teaspoons per day.
- 15 pounds ≈ 6.82 kg requires approximately 1.75 teaspoons per day.
- 30 pounds ≈ 13.64 kg requires approximately 3.75 teaspoons per day.