Question

question 10 (3 points)
dr. smith prescribes gentamicin for a patient with a serious bacterial infection. if a
750 ml bag contains 300 mg gentamicin and the patient receives 300 ml, how many
mg of gentamicin did the patient receive?

Explanation:

Step1: Set up proportion

Let \( x \) be the mg of Gentamicin received. The proportion is \(\frac{300\ \text{mg}}{750\ \text{mL}}=\frac{x}{300\ \text{mL}}\)

Step2: Solve for \( x \)

Cross - multiply: \( 750x = 300\times300 \)
\( 750x = 90000 \)
Divide both sides by 750: \( x=\frac{90000}{750}=120 \)

Answer:

120