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 25 $mg$ of a drug for each kilogram of the patient's mass. If a patient weighs $220 lb$ , how many milligrams of the drug should be given?

Use $1 kg = 2.2 lb$ and do not round any computations.
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So, the patient should be given $2500 mg$ of the drug.

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Step 1 ：Convert the patient's weight from pounds to kilograms using the conversion factor 1 kg = 2.2 lb. The equation is $220 lb \times \frac{1 kg}{2.2 lb}$ . The lb units cancel out, leaving us with $\frac{220}{2.2} = 100 kg$ .

Step 2 ：Find out how many milligrams of the drug should be given. The nurse must give 25 mg of the drug for each kilogram of the patient's mass. The equation is $100 kg \times 25 mg/kg$ . The kg units cancel out, leaving us with $100 \times 25 = 2500 mg$ .

Step 3 ：Check the work by substituting the values back into the original problem: $25 mg/kg \times 100 kg = 2500 mg$ .

Step 4 ：So, the patient should be given $2500 mg$ of the drug.

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