Question

The dose of a drug is critical. Too small a dose may not treat a patient effectively, while too much can cause serious side effects. A nurse must give a patient 25mg
of a drug for each kilogram of the patient's mass. If a patient weighs 220lb
, how many milligrams of the drug should be given?

Use 1kg=2.2lb

and do not round any computations.

Answer 1

Answer:

The patient should receive 460mg of the drug

Step-by-step explanation

This problem can be explained as a simple rule of three.In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The dose of the drug

- The weight of the patient.

As the the weight of the patient increases, so will the dose of the drug. This means that the relationship between the measures is direct, and we have the following rule of three:

20 mg - 1 kg

x mg - 23kg

x = 20*23

x = 460mg

The patient should receive 460mg of the drug