Answered

Use the information below:

[tex]\[ D = \frac{a}{a+12} \cdot M \][/tex]

Where:
- [tex]\( D \)[/tex] = child's dosage in milligrams
- [tex]\( a \)[/tex] = age of the child
- [tex]\( M \)[/tex] = adult dosage in milligrams

If the adult dosage of the medicine is 180 milligrams (mg), what is [tex]\(\frac{1}{3}\)[/tex] of the adult dose?

(Show your work.)



Answer :

To determine [tex]\( \frac{1}{3} \)[/tex] of the adult dose, we first need to understand what the adult dosage is. The adult dosage given is 180 milligrams (mg).

To find [tex]\( \frac{1}{3} \)[/tex] of this dosage, we follow these steps:

1. Start with the total adult dosage: [tex]\( 180 \)[/tex] mg.
2. Divide this dosage by 3 to find [tex]\( \frac{1}{3} \)[/tex] of it.

[tex]\[ \frac{1}{3} \text{ of the adult dose} = \frac{180 \text{ mg}}{3} \][/tex]

3. Perform the division:

[tex]\[ \frac{180}{3} = 60 \text{ mg} \][/tex]

Therefore, [tex]\( \frac{1}{3} \)[/tex] of the adult dose is 60 milligrams (mg).