Question

What is the prescribed dosage of a certain medicine for a 6-year-old child if the adult dosage of

the medicine is 180 milligrams?

What is C?


The formula below is used to calculate the correct dosage for a child:


C= a/(a+12) ∙ A


C = child’s dosage in milligrams

a = age of the child

A = adult dosage in milligrams


Show work

Answer 1

To find the child's dosage of medicine, apply the formula C = a/(a+12) x A with a being the child's age and A the adult dosage. For a 6-year-old, the dosage is 60 milligrams.

Step-by-step explanation:

To calculate the prescribed dosage of medicine for a 6-year-old child when the adult dosage is 180 milligrams, we use the formula C = a/(a+12) ⋅ A, where C is the child’s dosage in milligrams, a is the age of the child, and A is the adult dosage in milligrams.

Plugging the given values into the formula we get:

C = 6 / (6 + 12) ⋅ 180
C = 6 / 18 ⋅ 180
C = 1 / 3 ⋅ 180
C = 180 / 3
C = 60 milligrams

Therefore, the prescribed dosage for a 6-year-old child is 60 milligrams.

Answer 2

The dose in milligrams of a 6-year-old child is 60.

Step-by-step explanation:

The formula is:

`C = (a)/((a+ 12))A`

We know that

A= adult dosage in milligrams=180 milligrams

a = age of the child = 6 years-old

So the child’s dosage in milligrams is:

`C = (6)/((6+12))*180`

`C = (1)/((3))*180`

`C = (180)/((3))`

`C = 60\ milligrams`