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A certain medicine is given in an amount proportional to a patients body weight. Suppose a person weighted 104 pounds requires 156 milligrams of medicine. What is the weight of a patient who requires 207 milligrams of medicine?

1 Answer

5 votes

Answer:

138 pound

Explanation:

Given

A certain medicine is given in an amount proportional to a patients body weight.

thus,

ratio will be

amount of medicine: weight of patient

Given

Suppose a person weighted 104 pounds requires 156 milligrams of medicine.

amount of medicine = 156 milligram

weight of patient = 104 pound

Thus, ratio will be = 156/104

___________________________

What is the weight of a patient who requires 207 milligrams of medicine

Let the weight of weight of patient here be x

thus, ratio in this case will be

207/x

we also know in ratio and proportion that

if two ratio a:b and c:d are equal then a:c = c:d

here also the ratio will be same

Thus,

156/104 = 207/x

=> 156x = 207*104 = 21,528

=> x = 21,528/156 = 138

Thus, weight of patient is 138 pound.

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