6. (10 points) A nurse is to give a patient 250 milligrams of a drug simethicone. The drug is only available in a solution whose concentration is 40 milligrams of simethicone per 0.6 milliliter of solution. How many milliliters of solution should the nurse give the patient? Set up and solve a proportion to receive credit.
x/250 = 40/0.6
In order to determine how many milliliters of the solution the nurse should give to the patient, we can set up a proportion using the given information.
Let's define the unknown quantity as "x" representing the number of milliliters of the solution to be administered.
According to the given information, the concentration of the solution is 40 milligrams per 0.6 milliliters.
By setting up the proportion, we get:
40 mg / 0.6 mL = 250 mg / x
To solve for x, we can cross multiply:
40 mg * x = 0.6 mL * 250 mg
Now, we can solve for x by dividing both sides of the equation by 40 mg:
x = (0.6 mL * 250 mg) / 40 mg
Simplifying this expression:
x = 3.75 mL
Therefore, the nurse should administer 3.75 milliliters of the solution to the patient.
To solve this problem, we can set up a proportion based on the given information.
Let's represent the amount of solution the nurse needs to give as "x" milliliters.
According to the given information, the concentration of the solution is 40 milligrams of simethicone per 0.6 milliliters of solution. So we can write the following proportion:
40 mg / 0.6 mL = 250 mg / x mL
Now, we can cross-multiply and solve for "x":
40 mg * x mL = 0.6 mL * 250 mg
40x = 0.6 * 250
40x = 150
Dividing both sides of the equation by 40:
x = 150 / 40
x = 3.75
Therefore, the nurse should give the patient 3.75 milliliters of the solution.