Answer:
A patient weighing 120 pounds requires 225 milligrams of medicine.
Step-by-step explanation:
We are given the following in the question:
[tex]\text{Amount of medicine}\propto \text{Patient's body weight}[/tex]
A patient weighing 128 pounds requires 240 milligrams of medicine.
We can find the ratio of patient's weight to amount of medicine as:
[tex]=\dfrac{128}{240}\\\\=\dfrac{8}{15}\\\\=8:15[/tex]
Let x be the patient's weight who requires 225 milligrams of medicine.
Thus, we can write
[tex]\dfrac{8}{15} = \dfrac{x}{225}\\\\\Rightarrow x = 225\times \dfrac{8}{15}\\\\\Rightarrow x = 120[/tex]
Thus, a patient weighing 120 pounds requires 225 milligrams of medicine.
