Set up a proportion equation:
m = kw, where m is the amount of medicine, and w is the body weight, k is a constant
for m = 205, w = 164
205 = k(164)
k = 205/164 = 5/4
m = (5/4)w
when m = 173.75,
173.75 = (5/4)w
w = 139
or
just use a simple ratio:
w/164 = 173.75/205
w = 164(173.75/205)
= 139
A certain medicine is given in the amount proportional to a patient's body weight. Suppose a patient weighing 164 pounds requires a 205 milligram of medicine. What is the weight of a patient who requires 173.75 milligrams of medicine?
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