1. A 29.30 kg child is to receive medication at a dosage rate of 15.50 mg of drug per kilogram of body weight. Calculate the number of milligrams of medication the child should receive.

2. A medication is supplied in a mixture that contains 7.5 mg of medication per milliliter of solution. The dosage rate is 10.0 mg of active ingredient per kilogram of body weight. Calculate the number of milliliters of medication that should be given to a patient weighing 187 lb.

To calculate the number of milligrams of medication a child should receive, multiply the dosage rate by body weight. First, convert the weight from pounds to kilograms using a conversion factor of 1 lb = 0.4536 kg. Then, use the dosage rate to calculate the number of milliliters of medication a patient should receive.

Explanation:

To calculate the number of milligrams of medication the child should receive, we can multiply the dosage rate by the child's body weight.

Number of milligrams of medication = dosage rate × body weight

By substituting the given values, we can solve:

Number of milligrams of medication = (15.50 mg/kg) × (29.30 kg) = 453.35 mg

For the second part of the question, we need to convert the weight from pounds to kilograms using the conversion factor of 1 lb = 0.4536 kg.

Weight in kilograms = 187 lb × 0.4536 kg/lb = 84.82 kg

Now, we can use the dosage rate to calculate the number of milliliters of medication the patient should receive.

Number of milliliters of medication = dosage rate × body weight

Number of milliliters of medication = (10.0 mg/kg) × (84.82 kg) = 848.2 ml

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