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Given data :
Doctor prescribes 18cc for 120pounds body weight (18:120 = 3:20)
Ideal dosage is 2cc : 15pounds.

3:20 is nothing but \(3*\frac{3}{4} : 20*\frac{3}{4}\) = 2.25cc : 15 pounds

So the dosage(2.25cc) must be reduced by .25cc to bring it down to 2cc,

making percent change : \(\frac{.25cc}{2.25cc}= \frac{1}{9}\) = 11.11%(Option C)
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Bunuel
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8

Quote:
If the typical dosage is 2 cubic centimeters per 15 pounds of body weight

So, 1 pound requires \(\frac{2}{15}\) cc
Or, 120 pound requires \(\frac{2}{15}*180\) cc = \(16\) cc

The doc gave 18 cc, and the patient needs 16 cc

Thus, the doc must reduce dosage by 2 cc

So, the percentage reduction required is \(\frac{2}{18} *100= 11.11\) %

Hence, the correct answer must be (C) 11.11 %
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A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

18 cubic centimeters =====> 120 pounds

Typical Dosage = 2 cubic centimeters =====> 15 pounds

120 Pounds Typical dosage \(= \frac{120}{15} * 2\)

\(= 8 * 2\)

\(= 16\)

Total dosage administered \(= 18\)

Additional dosage \(= 18 - 16\) \(= 2\)

What % should be reduced? \(= \frac{2}{18} * 100 = 100/9 = 11.1\)

Hence, Answer is C
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Bunuel
A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent should the prescribed dosage be reduced to bring it down to the typical dosage?

(A) 7.5
(B) 9.0
(C) 11.1
(D) 12.5
(E) 14.8

We are given that the typical rate is (2 cm^3)/(15 lbs). Thus a patient whose weight was 120 lbs should be prescribed 120 lbs x (2 cm^3)/(15 lbs) = 240/15 = 16 cm^3 of the drug.

However, since a doctor prescribed 18 cm^3 of the drug, we can let n = the percentage decrease needed and create the following equation:

18(1 - n/100) = 16

1 - n/100 = 16/18

2/18 = n/100

18n = 200

n = 11.11

Answer: C
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