SOLUTION: doctors often prescribe the same drugs for children as they do for adults. if "a" the age of a child and D is the adult dosage, then to find the child's dosage "d", doctors can us

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: doctors often prescribe the same drugs for children as they do for adults. if "a" the age of a child and D is the adult dosage, then to find the child's dosage "d", doctors can us      Log On


   

Question 844148: doctors often prescribe the same drugs for children as they do for adults. if "a" the age of a child and D is the adult dosage, then to find the child's dosage "d", doctors can use the formula d=0.08aD(Fried rule) or d=D(a+1)/24(cowling's rule). For what age do the two formulas give the same child's dosage.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
d=0.08aD (Fried rule) or d=D%28a%2B1%29%2F24 (cowling's rule).
0.08aD=D%28a%2B1%29%2F24
0.08a=%28a%2B1%29%2F24
24%2A0.08a=a%2B1
1.92a=a%2B1
1.92a-a=1
0.92a=1
a=1%2F0.92
a=1.087
If a is in years, 1.087years=1.087%2A12months=13+months .