Medication dosages for an adult

Question

The adult daily dosage for a certain medication is 260 mg of medication for every 40 pounds of body weight. 

At this rate find the daily dose for a man who weighs 175 pounds. 

Also, if this man is to receive 900 mg of this medication every 8 hours, is he getting the proper dosage? 

Answer 1

I am assuming that 260mg is the max dosage per day for every 40 pounds.

first divide 175: 40=4.375, therefore he can maximum of 260mg x 4.375=1137.5mg

 

The answer will tell you how much of the medicine this men can get per day:

 

then if you divide 24hrs : 8hrs you get 3, therefore by multiplying it by 3 you will get the correct daily dose= 2700mg

 

 

Here is what we have:  a man of 175lb weight should get no more than 1137.5mg

 

If he gets 900mg every 8hrs, then daily he gets 3 x 900mg=2700mg, the difference is 2700mg - 1137.5mg=1562.5mg

 

 

Therefore he is over-medicated by 1562.5mg of the daily dosage. (which is a lot)

 

you can also say if 1137.5mg is 100% daily dosage than 2700mg is 237% (because 11.7.5mg x 2=2275mg, which over the twice amount of allowed daily dosage).

 

This men will get 237% ( or 2.37 times) more of the allowed daily dosage which is 1137.5mg (100%).

Answer 2

For each pound, you need 260mg/40 = 6.5 mg

 

A man who weighs 175 lbs daily dosage: 175 * 6.5 mg = 1137.50 mg

 

There are 3 segments of 8 hours in a day: 24 hours/ 8 = 3

 

He would be receiving 900 * 3 = 2700 mg. 

 

He is getting overdosed by 2700 - 1137.50 = 1562.50 mg