Using Proportions to Solve Real-world Problems help?

Question

1. A doctor needs to prescribe a certain medicine for her patient. The amount of medicine prescribed per day is based on the weight of the patient at a ratio of three milligrams per two pounds of bodyweight. If the patient weighs 150 pounds, how much medication should the doctor prescribe per day?  

a) set up a proportion, defining a variable for the unknown quantity,

b) solve the proportion, showing all work leading to your answer

c) write a sentence to explain the meaning of the answer for the situation.

Answer 1

(1)

Step 1:

Three milligrams of medicine is prescribed for two pounds of body weight.

Set up a proportion.

Let represents the amount of medicine required for a person weighing 150 pounds.

The proportion is .

Step 2:

Find the amount of medicine for a person weighing 150 pounds.

Use proportions to find .

Therefore, the amount of medicine for a person weighing 150 pounds is 225 milligrams.

Solution:

(a) The proportions is .

(b) .

(c) The amount of medicine for a person weighing 150 pounds is 225 milligrams.