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Leto [7]
4 years ago
12

A certain medicine is given in an amount proportional to patient’s body weight. Suppose a patient weigh in 116 pounds requires 1

26 mg of medicine. What is the amount of medicine required by patient way and 174 pounds?
Mathematics
1 answer:
LiRa [457]4 years ago
6 0

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.

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