SOLUTION: cowling's rule is another method for determining the dosage of a drug to prescribe to a child. for this rule, the formula: d=D(a+1) 24 Gives the child’s dosage d,

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: cowling's rule is another method for determining the dosage of a drug to prescribe to a child. for this rule, the formula: d=D(a+1) 24 Gives the child’s dosage d,      Log On


   



Question 168099: cowling's rule is another method for determining the dosage of a drug to prescribe to a child. for this rule, the formula:
d=D(a+1)
24
Gives the child’s dosage d, where D is the adult dosage and a is the age of the child in years. If the adult dosage of a drug is 600 milligrams and a doctors uses this formula to determine that a child’s dosage is 200 milligrams, then how old is the child?


Answer by hobbitt(2) About Me  (Show Source):
You can put this solution on YOUR website!
I'm not sure how they wrote the formula - but when I looked it up it said "fraction of the adult dose obtained by dividing the age of the child at the nearest birthday by 24"
as the adult dose is 600 and the child dose is 200 and we have
d=D*((a+1)/24) I think you were saying
d/D will = age + 1 divided by 24
so 200/600 = 1/3
so now we have 1/3 on one side and (age +1)/24 on the other side
multiply both sides by 24 to give 24/3 = age = 8 I think