Explanation:
We are given: dosage = 35 mg/kg
: mass of a child = 29 kg
: mass per capsule = 250mg/capsule
We first determine the number of capsules per kg:
[tex]\begin{gathered} capsules\text{ per kg = }\frac{dosage}{mass\text{ per capsule}} \\ \\ \text{ = }\frac{35}{250} \\ \\ \text{ = 0.14 capsule/kg} \end{gathered}[/tex]We then find the number of capsules for the child with the given mass:
[tex]\begin{gathered} no\text{ of capsules = caspsules per kg }\times mass\text{ of a child} \\ \\ \text{ = 0.14}\times29 \\ \\ \text{ = 4.06 capsules }\approx4\text{ capsules} \end{gathered}[/tex]Answer:
The child must receive 4 capsules.