Answer :
Final answer:
By setting up a Proportion equation based on the given information (195 pounds: 279 milligrams = 130 pounds: X milligrams) and solving for X, we find that a patient who weighs 130 pounds would require approximately 185 milligrams of the drug.
Explanation:
The question is a typical example of a ratio or proportion in mathematics. The patient's body weight is used to determine the dose of drugs. If a patient weighing 195 pounds requires 279 milligrams of a particular drug, we can use this information to find the dosage for a patient who weighs 130 pounds.
Let's denote the dosage for the 130-pound patient as X milligrams. According to proportionality, the ratio of weight to dosage should be the same, thus, we can write the equation as follows:
195 : 279 = 130 : X
Solving for X, we get:
X = (279 * 130) / 195
Calculating this gives us X approximately equals 185 milligrams. So, a patient weighing 130 pounds would require around 185 milligrams of the drug.
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