The nurse receives an order for Medication F 5 mg intramuscularly, every 4hours as needed. The medication label states Medication F 10 mg/mL. Howmany mL total should be administered in 24 hours?

Respuesta :

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