Math

QuestionHow many 12.5mg12.5 \mathrm{mg} tablets of Benadryl are taken in a week if the dose is 25mg25 \mathrm{mg} every 6 hours?

Studdy Solution

STEP 1

Assumptions1. The dosage for a100 pound person is25 mg every6 hours. The tablets available are12.5 mg each3. There are24 hours in a day and7 days in a week

STEP 2

First, we need to find out how many doses a person takes in a day. Since the dosage is every6 hours, there are4 doses in a day.
osesperday=24hours/6hoursoses\, per\, day =24\, hours /6\, hours

STEP 3

Calculate the number of doses per day.
osesperday=24hours/6hours=dosesoses\, per\, day =24\, hours /6\, hours =\, doses

STEP 4

Next, we need to find out how many doses a person takes in a week. Since there are7 days in a week, we multiply the number of doses per day by7.
osesperweek=Dosesperdaytimes7daysoses\, per\, week = Doses\, per\, day \\times7\, days

STEP 5

Calculate the number of doses per week.
osesperweek=4dosestimes7days=28dosesoses\, per\, week =4\, doses \\times7\, days =28\, doses

STEP 6

Now, we need to find out how many tablets are needed for each dose. Since each dose is25 mg and each tablet is12.5 mg, we divide the dose by the tablet strength.
Tabletsperdose=Dosestrength/TabletstrengthTablets\, per\, dose = Dose\, strength / Tablet\, strength

STEP 7

Calculate the number of tablets per dose.
Tabletsperdose=25mg/12.5mg=2tabletsTablets\, per\, dose =25\, mg /12.5\, mg =2\, tablets

STEP 8

Finally, we need to find out how many tablets are needed in a week. We do this by multiplying the number of doses per week by the number of tablets per dose.
Tabletsperweek=DosesperweektimesTabletsperdoseTablets\, per\, week = Doses\, per\, week \\times Tablets\, per\, dose

STEP 9

Calculate the number of tablets per week.
Tabletsperweek=28dosestimes2tablets=56tabletsTablets\, per\, week =28\, doses \\times2\, tablets =56\, tabletsSo, a100 pound person would need to take56 chewable tablets of12.5 mg each in a week.

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