Question

A patient in a hospital is prescribed IV fluids with a rate of 3 milligrams (mg) of a certain drug per 100 milliliters (mL) of water. If the patient needs 27 milligrams of the drug, how many milliliters of fluid should be prescribed? Round your answer to the nearest whole number, if necessary.

Answer 1

x = 900 mL

Explanation:

The rate of the drug is 3 mg per 100 mL of water. Let's denote the number of milliliters of fluid to be prescribed as x.

We can set up the proportion as follows:

3 mg / 100 mL = 27 mg / x

To solve for x, we can cross-multiply and then divide:

3 mg * x = 27 mg * 100 mL

3x = 2700

x = 2700 / 3

x = 900 mL

Therefore, 900 milliliters of fluid should be prescribed.