Using Cowling’s Rule what is the age of the child if the adults dose is 500mg and the child dose is 187 mg?
Well if you look up Cowling's rule it states:fraction of the adult dose obtained by dividing the age of the child at the nearest birthday by 24 (source internet dictionary).
So let's let the age of the child be represented by the variable x.
so x/24 is the fraction of the dosage the child needs to take of the adult dosage.
the adult dosage in this case in 500mg so the equation to set up is
(x/24)500=child's dosage
the child's dosage is said to be 187mg so input that into the equation.
(x/24)500= 187
another way to look at it is
500x=187/24
now isolate and solve for x
the answer should be around 9 if you do the algebra correctly.
Cowling's Rule is a formula used to estimate the correct dosage for a child based on the adult dosage. According to Cowling's Rule, the child's dose is calculated by multiplying the adult dose by the child's age (in years) divided by the sum of the child's age and 12.
In this case, if the adult dose is 500mg and the child dose is 187 mg, we can use Cowling's Rule to find the child's age.
Let's set up the equation:
Child's dose = (Child's age / (Child's age + 12)) * Adult's dose
Plugging in the values we have:
187 mg = (Child's age / (Child's age + 12)) * 500 mg
To solve for the child's age, we need to isolate the variable.
Divide both sides of the equation by 500 mg:
187 mg / 500 mg = Child's age / (Child's age + 12)
0.374 = Child's age / (Child's age + 12)
Cross multiply:
Child's age = 0.374 * (Child's age + 12)
Distribute 0.374:
Child's age = 0.374 * Child's age + 0.374 * 12
Child's age = 0.374 * Child's age + 4.488
Subtract 0.374 * Child's age from both sides:
0 = 0.626 * Child's age + 4.488
Subtract 4.488 from both sides:
-4.488 = 0.626 * Child's age
Divide both sides by 0.626:
(-4.488) / 0.626 = Child's age
Child's age ≈ -7.174
Based on the result, it appears that something went wrong in the calculations since we obtained a negative value for the child's age. Please double-check the values provided and ensure the formula has been applied correctly.
To determine the age of the child using Cowling's Rule, we need to compare the child's dose to the adult's dose and calculate the ratio. Cowling's Rule is a general guideline that estimates a child's age based on the dosage they receive in comparison to the adult dosage.
The formula for Cowling's Rule is:
Child's age = (Child's dose / Adult's dose) x Adult's age
Here, the adult dose is given as 500mg, and the child dose is given as 187mg.
Let's assume the adult's age is 30 since the question does not provide it.
Child's age = (187 / 500) x 30
Child's age = 0.374 x 30
Child's age = 11.22
The estimated age of the child, according to Cowling's Rule, is approximately 11.22 years.