Question

Working in the health sciences, you will find that you will have to make different kinds of mathematical conversions. Start this activity by reading through the following story problems to familiarize yourself with the various conversions that you will need to perform. Use the information below to answer the questions.Submit your answer (rounded to 2 decimals) and all work.Conversion Formulas1 oz = 29.57mL1 ml = 0.20 teaspoonsQuestion 1: A patient is prescribed 80 mg of Tramadol Hydrochloride injection. The stock dose is 50mg / 2 mL. What volume will you require?Question 2: A laboratory technician measures 48 ml of urine sample in a 4-ounce beaker. How many more ml of urine are necessary to fill the beaker?

Answer 1

Question 1:

80mg was prescribed to the patient.

The dose for the injection is 50mg/2mL

This means for every 2mL, 50mg is prescribed.

`\begin{gathered} 2mL=50mg \\ 50mg=2mL \\ 1mg=(2)/(50)mL \\ 1mg=(1)/(25)mL \end{gathered}`

Hence, the volume required for 80mg will be;

`\begin{gathered} 1mg=(1)/(25)mL \\ 80mg=(1)/(25)*80mL \\ 80mg=3.2mL \\ =3.20mL\text{ to 2 decimal places} \end{gathered}`

Therefore, the volume required for the prescribed 80mg will be 3.20mL

Question 2:

48mL of urine sample was measured into a 4-ounce beaker.

`1oz=29.57mL`

Hence, the 4-ounce beaker will have a full volume of;

`\begin{gathered} 1oz=29.57mL \\ 4oz=29.57*4mL \\ 4oz=118.28mL \end{gathered}`

The beaker has a volume of 118.28mL

Since 48mL has been poured into the beaker, the added volume of urine that is needed to fill the beaker up will be;

`\begin{gathered} =118.28-48 \\ =70.28mL \end{gathered}`

Therefore, 70.28mL more of urine sample is needed to fill up the beaker.