Question

A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 25 mg every six hours. Complete parts​ (a) and​ (b) below. a. Following this​ dosage, how many 12.8 mg chewable tablets would be taken in a​ week? b. This antihistamine also comes in a liquid form with a concentration of 12.8 ​mg/9 mL. Following the prescribed​ dosage, how much liquid antihistamine should a 100​-pound person take in a​ week?

Answer 1

Given that a certain antihistamine is often prescribed for allergies.

And typical dose for 100-pound person is 25 mg every 6 hours.

a) Let us calculate dose per 1 hour for 100-pound person= $\frac{25}{6} mg/hr$

Since 1 week means 7X24= 168 hours, dosage per 1 week = dosage per 168 hours

                                                                                 $=168X\frac{25}{6} = 700mg$

The number of 12.8 chew able tablets would be taken in a week= $\frac{700}{12.8}=54.6875$

Hence number of 12.8mg chew able tablets would be taken in a week is 55.

b) Now we can use earlier answer for this problem, since 12.8mg tablet is replaced with 9ml liquid, 55 bottles of 9ml liquid are to be taken in a week.

Hence amount of liquid histamine should a 100-pound person take in a week = 55X9

                                                                                                                                 =495ml