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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 132 pounds requires 143 milligrams of medicine. What is the amount of medicine required by a patient weighing 156 pounds?

Answer :

Final answer:

To solve this problem, we set up a proportion based on the provided information: 132 pounds correlates to 143 milligrams. We then use cross multiplication to find the required dosage for the patient with the weight of 156 pounds, which results to about 169.3 milligrams.

Explanation:

The method to solve this issue is to use the concept of proportionality. First, we set up a proportion based on the given information: 132 pounds (patient weight) correlates to 143 milligrams (medicine dosage). Secondly, we could use cross multiplication to find the unknown medicine dosage for the patient weighting 156 pounds. Here's the mathematical process:

  • Set up the proportion: 132/143 = 156/x
  • Cross multiply: 132*x = 143*156
  • Solve the equation: x = (143*156)/132

Carrying out the multiplication and division should result in x ≈ 169.3 milligrams. So a patient weighing 156 pounds would require approximately 169.3 milligrams of the medicine.

Learn more about Proportionality here:

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