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.

Explanation:

Step1: Convert liters to milliliters

We know that \(1\space L = 1000\space mL\). So the 1 L bag is equivalent to 1000 mL of fluid containing 160 mg of tobramycin.

Step2: Set up a proportion

Let \(x\) be the volume of fluid (in mL) the patient receives. The proportion of tobramycin to fluid should be the same. So we have \(\frac{160\space mg}{1000\space mL}=\frac{50\space mg}{x\space mL}\)

Step3: Solve for \(x\)

Cross - multiply: \(160x = 50\times1000\)
\(160x=50000\)
\(x=\frac{50000}{160}\)
\(x = 312.5\)

Answer:

\(312.5\)