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Answer :
Final answer:
To find the weight of a patient who requires a different dosage of medicine, we can set up a proportion using the given information. Cross-multiplying and solving for the unknown weight gives us the solution.
Explanation:
In this problem, we are given that the amount of medicine given is proportional to the patient's body weight. We are also given the weight and dosage for one patient, and we need to find the weight of another patient given a different dosage.
Let's set up a proportion to solve the problem:
Weight in pounds / Dosage in milligrams = Weight in pounds / Dosage in milligrams
Using the given information, we can substitute the values into the proportion:
104 / 169 = x / 224.25
Cross-multiplying and solving for x, we get:
104 * 224.25 = 169 * x
x = (104 * 224.25) / 169
Calculating the expression on the right-hand side gives us the weight of the patient who requires 224.25 milligrams of medicine.
Learn more about Proportions here:
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Rewritten by : Barada
104 / 169 = x / 224.25......104 lbs to 169 mg = x lbs to 224.25 mg
cross multiply because this is a proportion
(169)(x) = (104)(224.25)
169x = 23322
x = 23322 / 169
x = 138 lbs <==
cross multiply because this is a proportion
(169)(x) = (104)(224.25)
169x = 23322
x = 23322 / 169
x = 138 lbs <==
