SOLUTION: A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 24 mg every six hours. a. Following this​ dosage, how many 12.1mg

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Question 1125659: A certain antihistamine is often prescribed for allergies. A typical dose for a 100​-pound person is 24 mg every six hours.
a. Following this​ dosage, how many 12.1mg chewable tablets would be taken in a​ week?
b. This antihistamine also comes in a liquid form with a concentration of 12.1mg/6mL. Following the prescribed​ dosage, how much liquid antihistamine should a 100​-pound
person take in a​ week?
a. A​ 100-pound person could take _____ tablets in a week.
​(Round to the nearest whole number as​ needed.)
b. A​ 100-pound person could take _____mL in a week.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
AS A MATH PROBLEM:
The 12.1 mg amount is contained in a chewable tablet or in a 6-mL volume.\
a. For tablets
%22=%2255.54tablets%2F%221+week%22
Rounding would give you highlight%2856%29 tablets in a week,
and that is what a pharmacist would dispense for a week.
b. For liquid formulation:
%22=%22333.2mL%2F%221+week%22
Rounding would give you highlight%28333%29 mL in a week.
A pharmacist would dispense 350mL if the prescription is for a week,
so that about 333mL could be taken out of the medicine bottle.
AS A REAL-LIFE QUESTION:
a. With 12.1 mg per tablets, 2 tablets would be 24.2mg,
which is close enough to 24 mg.
As a mother of a 100-pound child, you would be supposed to give
2 tablets every 6 hours, meaning 24hours%2F%226+hours%22=4 times a day
That translates to
%282tablets%29%284%29=8 tablets per day, and
%288tablets%29%287%29=highlight%2856%29 tablets per week.
The problem does not look that bad from the point of view of a mother.
A mother with a 4th-grade education should be competent enough to figure this out,
and would count to see if there are enough tablets in the medicine bottle for a 1 week vacation.
If mothers cannot do that, their schooling has failed them.
b. A measuring teaspoon has a volume of 5mL,
and the small measuring cups that come with many syrup medications have lines for 5mL, but not for 6mL.
However, a resourceful mother will figure out what to do.
A concentration of 12.1mg/6mL means
12.1mg%2F%226+mL%22=%222.0167+mg+%2F+mL%22
In 11mL you would have 11%282.0167mg%29=22.2mg, and
in 12mg there would be 11%282.0167mg%29=24.2+mg ,
so a mother would give her 100-lb child 12 mL each time,
measured as accurately as she could manage.
That would mean
about 4%2812mL%29=48mL each day, and
about 7%2848mL%29=336mL each week.