Question

question 8 (3 points)
an optometrist prescribes tobramycin to a patient with an eye infection. if a 1 l bag contains 160 mg of tobramycin and the patient receives 50 mg of tobramycin, how many ml of fluid did the patient receive? round to the nearest tenths.
question 9 (3 points)
a patient has a urinary tract infection so dr. padron prescribes ancef. a 1200 ml bag contains 400 mg of ancef. if the patient receives 600 ml of fluid, how many mg of ancef did the patient receive?

Explanation:

Question 8 Solution:

Step1: Convert 1 L to mL

Since \( 1\ \text{L} = 1000\ \text{mL} \), the bag has \( 1000\ \text{mL} \) of fluid with \( 160\ \text{mg} \) of tobramycin.

Step2: Set up proportion

Let \( x \) be the volume of fluid (in mL) the patient receives. The proportion is \( \frac{160\ \text{mg}}{1000\ \text{mL}}=\frac{50\ \text{mg}}{x\ \text{mL}} \).

Step3: Solve for \( x \)

Cross - multiply: \( 160x = 50\times1000 \). Then \( x=\frac{50\times1000}{160} \). Calculate \( 50\times1000 = 50000 \), so \( x=\frac{50000}{160}=312.5 \).

Step1: Find the concentration

The concentration of Ancef in the bag is \( \frac{400\ \text{mg}}{1200\ \text{mL}}=\frac{1}{3}\ \text{mg/mL} \) (simplified).

Step2: Calculate the amount of Ancef

If the patient receives \( 600\ \text{mL} \) of fluid, the amount of Ancef is \( \text{Concentration}\times\text{Volume}=\frac{400}{1200}\times600 \). \( \frac{400\times600}{1200}=200 \).

Answer:

\( 312.5\ \text{mL} \)

Question 9 Solution: