Medication dosages for an adult?

Question

The adult daily dosage for a medication is 130mg of medication for every 20 pounds of body weight. 

at this rate, find the daily dosage for a man that weighs 205 pounds. 

if the man is to receive 700mg of medication every 8 hours, is he recovering the proper dosage? 

Answer 1

The problem gives the adult dosage; we just have to convert units.

       ( (130 mg/day)/(20 lbs) )* (205 lbs)

              1332.5 mg/day         (note: lbs cancel out)

 

Convert units:

       ( (700 mg)/(8 hours) ) * (24 hours/day)      (multiplicative identity is 1 = 24 hr/day)

              2100 mg/day              (hours cancel out)

 

This is more than 50% overdose.

Answer 2

First step is to figure out how many 20's go into 205 pounds . . . 205/20 = 10.25

 

Next step is to multiply 130 mg X 10.25 = 1332.5 mg of medication per day.

 

If he's taking medication every 8 hours, he will get 3 doses in 24 hours (1 day) so each dose must be

1332.5 mg / 3 = 444.17 mg

 

If he's taking 700 mg every 8 hours, he is overdosing.

Answer 3

proper dosage  = 205/20*130 = 1332.5 mg per day

 

if he is given 700 mg per 8 hours he would get 3*700 = 2100 mg per day  - too much for his weight.