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.

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.
`(x_1)/(y_1)=(x_2)/(y_2)`

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

then,

`(116)/(126)=(174)/(y_2)`

`\Rightarrow\ y_2=(174*126)/(116)\\\\\Rightarrow\ y_2=189`

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