Solution:
Given that,
A medicine is prescribed at 1/2 teaspoon for every 35 pounds of body weight
Therefore,
[tex]35\ pounds = \frac{1}{2}\ teaspoons[/tex]
We have to find the medicine needed for a 175 pounds person
Let "x" be the teaspoon needed for 175 pound person
Therefore,
[tex]35\ pounds = \frac{1}{2}\ teaspoons\\\\175\ pound = "x"[/tex]
This forms a proportion and solve by cross multiplying
[tex]35 \times x = \frac{1}{2} \times 175\\\\x = \frac{87.5}{35}\\\\x = 2.5[/tex]
Thus, 2.5 tea spoon of medicine needed for 175 pound person
