A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 153 pounds requires 249 milligrams of medicine. What is the amount of medicine required by a patient weighing 102 pounds?

Respuesta :

mg required per pound = 249/153 = 1.63mg

Therefore medicine required=  102 *1.63= 166.26g

Answer: 166 milligrams

Step-by-step explanation:

Given : A certain medicine is given in an amount proportional to a patient's body weight.

A patient weighing 153 pounds requires 249 milligrams of medicine.

Let x be the amount of medicine required by a patient weighing 102 pounds, then we have the following equation:-

[tex]\dfrac{x}{102}=\dfrac{249}{153}\\\\\Rightarrow\ x=\dfrac{249\times102}{153}=166[/tex]

Hence, the amount of medicine required by a patient weighing 102 pounds = 166 milligrams.