Question

question 1 of 10. dr. padilla has ordered 250 mg of rocephin by im injection for mr. smith. you have on hand rocephin 1g/4 ml. how many mls should you administer to mr. smith? question 2 of 10. dr. miller has ordered 320 mg of acetaminophen by mouth for ms. penna. available you have 160 mg/5ml. how many ml would you administer?

Explanation:

Step1: Set up proportion for acetaminophen

Let $x$ be the volume to be administered. The proportion is $\frac{160\ mg}{5\ mL}=\frac{320\ mg}{x}$.

Step2: Cross - multiply

$160x = 320\times5$.

Step3: Solve for $x$

$x=\frac{320\times5}{160}= 10\ mL$.

Step4: Set up proportion for Rocephin

Available Rocephin is $1\ g$ (or $1000\ mg$) in $4\ mL$, and the ordered dose is $250\ mg$. Let $y$ be the volume. The proportion is $\frac{1000\ mg}{4\ mL}=\frac{250\ mg}{y}$.

Step5: Cross - multiply

$1000y=250\times4$.

Step6: Solve for $y$

$y = \frac{250\times4}{1000}=1\ mL$.

Answer:

For acetaminophen, 10 mL should be administered.
For Rocephin, 1 mL should be administered.