At first, we have to find how many mg needed for 24 hours
Since she needs 5 mg every 4 hours, then
Let us find how many 4 hours in 24 hours?
Divide 24 by 4 to find that
[tex]\frac{24}{4}=6[/tex]That means we need 5 mg for 6 groups of 4 hours
The total of mg for 24 hours = 5 x 6 = 30 mg
Now, the medication F is 10 mg/ml
That means 10 mg given with 1 ml
We need to find how many ml for 30 mg, we will use the equal ratios
[tex]\frac{10}{1}=\frac{30}{x}[/tex]By using cross multiplication
[tex]\begin{gathered} 10\times x=30\times1 \\ 10x=30 \end{gathered}[/tex]Divide both sides by 10
[tex]\begin{gathered} \frac{10x}{10}=\frac{30}{10} \\ x=3 \end{gathered}[/tex]The total for the 24 hours should be 3 ml