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Answer :
To solve the question, we need to figure out how many teaspoons of medication are required for children weighing 10 pounds, 15 pounds, and 30 pounds based on a specific drug formula.
Here’s a step-by-step breakdown of how we can determine the correct dosage:
1. Understand the drug formula: The drug is available in a concentration of 200 mg per 5 ml. We know that 1 teaspoon is equivalent to 5 ml.
2. Determine the drug concentration per teaspoon: Since 1 teaspoon equals 5 ml, each teaspoon contains 200 mg of the drug.
3. Calculate the required dosage for each child:
- We assume that for each pound of body weight, the child needs a specific dose of the medication. For simplicity, let's assume children require 10 mg of the drug per pound of body weight.
4. Calculate the dosage for each child:
- For a child weighing 10 pounds:
- Required dose = 10 pounds × 10 mg/pound = 100 mg
- Convert mg to teaspoons = 100 mg ÷ 200 mg/teaspoon = 0.5 teaspoons
- For a child weighing 15 pounds:
- Required dose = 15 pounds × 10 mg/pound = 150 mg
- Convert mg to teaspoons = 150 mg ÷ 200 mg/teaspoon = 0.75 teaspoons
- For a child weighing 30 pounds:
- Required dose = 30 pounds × 10 mg/pound = 300 mg
- Convert mg to teaspoons = 300 mg ÷ 200 mg/teaspoon = 1.5 teaspoons
5. Round to the nearest 1/4 teaspoon: The calculated teaspoons for each child are already rounded to the nearest 1/4 teaspoon.
Based on these steps, the required number of teaspoons for children weighing 10 pounds, 15 pounds, and 30 pounds are 0.5, 0.75, and 1.5 teaspoons, respectively.
Here’s a step-by-step breakdown of how we can determine the correct dosage:
1. Understand the drug formula: The drug is available in a concentration of 200 mg per 5 ml. We know that 1 teaspoon is equivalent to 5 ml.
2. Determine the drug concentration per teaspoon: Since 1 teaspoon equals 5 ml, each teaspoon contains 200 mg of the drug.
3. Calculate the required dosage for each child:
- We assume that for each pound of body weight, the child needs a specific dose of the medication. For simplicity, let's assume children require 10 mg of the drug per pound of body weight.
4. Calculate the dosage for each child:
- For a child weighing 10 pounds:
- Required dose = 10 pounds × 10 mg/pound = 100 mg
- Convert mg to teaspoons = 100 mg ÷ 200 mg/teaspoon = 0.5 teaspoons
- For a child weighing 15 pounds:
- Required dose = 15 pounds × 10 mg/pound = 150 mg
- Convert mg to teaspoons = 150 mg ÷ 200 mg/teaspoon = 0.75 teaspoons
- For a child weighing 30 pounds:
- Required dose = 30 pounds × 10 mg/pound = 300 mg
- Convert mg to teaspoons = 300 mg ÷ 200 mg/teaspoon = 1.5 teaspoons
5. Round to the nearest 1/4 teaspoon: The calculated teaspoons for each child are already rounded to the nearest 1/4 teaspoon.
Based on these steps, the required number of teaspoons for children weighing 10 pounds, 15 pounds, and 30 pounds are 0.5, 0.75, and 1.5 teaspoons, respectively.
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