Answer :
To determine how many teaspoons of medication are necessary for each child's weight, we can follow these steps:
1. Understand the Dosage Per Weight:
- The recommended dosage is 40 milligrams per 2.2 pounds of body weight.
2. Convert the Child's Weight to Dosage in Milligrams:
- First, find out how many sets of 2.2 pounds are in each child's weight: divide the child's weight by 2.2.
- Multiply the result by 40 milligrams to find the total dosage in milligrams.
3. Understanding the Medication Concentration:
- The medication is provided in a concentration of 200 milligrams per 5 milliliters.
- This means each milliliter contains 200/5 = 40 milligrams of the drug.
4. Convert Milligrams to Milliliters:
- Divide the milligrams by the concentration (40 mg/ml) to find how many milliliters are needed for the given dosage.
5. Convert Milliliters to Teaspoons:
- Since 1 teaspoon is 5 milliliters, divide the milliliters by 5 to convert it to teaspoons.
6. Round to the Nearest 1/4 Teaspoon:
- Round the number of teaspoons to the nearest 1/4 (0.25) teaspoon to make it easy to measure.
Here are the specific calculations for each child's weight:
- For a Child Weighing 10 Pounds:
- Calculate the dosage: (10 / 2.2) × 40 = approximately 181.82 mg.
- Convert to milliliters: 181.82 mg ÷ 40 mg/ml = approximately 4.545 ml.
- Convert to teaspoons: 4.545 ml ÷ 5 ml/teaspoon = approximately 0.909 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 4.5 teaspoons.
- For a Child Weighing 15 Pounds:
- Calculate the dosage: (15 / 2.2) × 40 = approximately 272.73 mg.
- Convert to milliliters: 272.73 mg ÷ 40 mg/ml = approximately 6.818 ml.
- Convert to teaspoons: 6.818 ml ÷ 5 ml/teaspoon = approximately 1.364 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 6.75 teaspoons.
- For a Child Weighing 30 Pounds:
- Calculate the dosage: (30 / 2.2) × 40 = approximately 545.45 mg.
- Convert to milliliters: 545.45 mg ÷ 40 mg/ml = approximately 13.636 ml.
- Convert to teaspoons: 13.636 ml ÷ 5 ml/teaspoon = approximately 2.727 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 13.75 teaspoons.
So the number of teaspoons required is approximately:
- 4.5 teaspoons for 10 pounds,
- 6.75 teaspoons for 15 pounds,
- 13.75 teaspoons for 30 pounds.
1. Understand the Dosage Per Weight:
- The recommended dosage is 40 milligrams per 2.2 pounds of body weight.
2. Convert the Child's Weight to Dosage in Milligrams:
- First, find out how many sets of 2.2 pounds are in each child's weight: divide the child's weight by 2.2.
- Multiply the result by 40 milligrams to find the total dosage in milligrams.
3. Understanding the Medication Concentration:
- The medication is provided in a concentration of 200 milligrams per 5 milliliters.
- This means each milliliter contains 200/5 = 40 milligrams of the drug.
4. Convert Milligrams to Milliliters:
- Divide the milligrams by the concentration (40 mg/ml) to find how many milliliters are needed for the given dosage.
5. Convert Milliliters to Teaspoons:
- Since 1 teaspoon is 5 milliliters, divide the milliliters by 5 to convert it to teaspoons.
6. Round to the Nearest 1/4 Teaspoon:
- Round the number of teaspoons to the nearest 1/4 (0.25) teaspoon to make it easy to measure.
Here are the specific calculations for each child's weight:
- For a Child Weighing 10 Pounds:
- Calculate the dosage: (10 / 2.2) × 40 = approximately 181.82 mg.
- Convert to milliliters: 181.82 mg ÷ 40 mg/ml = approximately 4.545 ml.
- Convert to teaspoons: 4.545 ml ÷ 5 ml/teaspoon = approximately 0.909 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 4.5 teaspoons.
- For a Child Weighing 15 Pounds:
- Calculate the dosage: (15 / 2.2) × 40 = approximately 272.73 mg.
- Convert to milliliters: 272.73 mg ÷ 40 mg/ml = approximately 6.818 ml.
- Convert to teaspoons: 6.818 ml ÷ 5 ml/teaspoon = approximately 1.364 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 6.75 teaspoons.
- For a Child Weighing 30 Pounds:
- Calculate the dosage: (30 / 2.2) × 40 = approximately 545.45 mg.
- Convert to milliliters: 545.45 mg ÷ 40 mg/ml = approximately 13.636 ml.
- Convert to teaspoons: 13.636 ml ÷ 5 ml/teaspoon = approximately 2.727 teaspoons.
- Round to nearest 1/4 teaspoon: approximately 13.75 teaspoons.
So the number of teaspoons required is approximately:
- 4.5 teaspoons for 10 pounds,
- 6.75 teaspoons for 15 pounds,
- 13.75 teaspoons for 30 pounds.
