A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 162 pounds requires 216 milligrams of medicine. What is the weight of a patient who requires 220 milligrams of medicine?
Mathematics · College · Tue Nov 03 2020
Answered on
Given:
Certain medicine given in amount proportional to a patient's body weight:
162 pounds : 216 mg of medicine
Determine the weight of a patient who requires 220 milligrams of medicine.
Solution:
In order to determine the amount of ratio between the first given prescription, we take out its factor, 162 and 216 are both factorable by 54.
= 162:216
= 3:4
Now we've determined that the ratio between the weight and prescription is 3 to 4.
To determine the weight of the patients which requires 220 milligrams, we divide the amount by 4, and multiply the quotient by 3.
=220/4
= 55
=(55)(3)
= 165 pounds
Final answer:
The weight of a patient who requires 220 milligrams of medicine is 165 pounds.