A child must take 10 mL of cephalexin, an antibiotic, by mouth 2 times a day for 11 days. The solution is provided as a 50 mg/mL suspension. How many milligrams will the child have taken when the course of medication is over?

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Answer:

[tex]\boxed{\text{11 000 mg}}[/tex]

Explanation:

(a) Calculate the number of doses.

[tex]\text{Doses} = \text{11 da} \times \dfrac{\text{2 doses }}{\text{1 da}} = \text{22 doses}[/tex]

(b) Calculate the total volume

[tex]V = \text{ 22 doses} \times \dfrac{\text{10 mL}}{\text{1 dose}} = \text{220 mL}[/tex]

(c) Calculate the total milligrams

[tex]\text{Milligrams} = \text{ 220 mL} \times \dfrac{\text{50 mg}}{\text{1 mL}} = \text{11 000 mg}\\\\\text{The child will have taken $\boxed{\textbf{11 000 mg}}$}[/tex]