Question

A certain medicine is given in an amount proportional to patient’s body weight. Suppose a patient weigh in 116 pounds requires 126 mg of medicine. What is the amount of medicine required by patient way and 174 pounds?

Answer 1

Answer: 189 mg.

Step-by-step explanation:

Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).

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

i.e. $\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}$

Let $x_1=116\ \ \ ,\ y_1=126$ ,  $x_2=174$

then,

$\dfrac{116}{126}=\dfrac{174}{y_2}$

$\Rightarrow\ y_2=\dfrac{174\times126}{116}\\\\\Rightarrow\ y_2=189$

Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.