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Register now and save up to $200 Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code ## A doctor prescribed 18 cubic centimeters tagged by: Brent@GMATPrepNow This topic has 4 expert replies and 1 member reply ### Top Member rsarashi Master | Next Rank: 500 Posts Joined 24 Dec 2016 Posted: 182 messages Followed by: 2 members Thanked: 4 times #### A doctor prescribed 18 cubic centimeters Thu Feb 09, 2017 9:25 am Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) 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 the body weight, by what percent was the prescribed dosage greater than the typical dosage? A) 8% B) 9% C) 11% D) 12.5% E) 14.8% OAD Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 10763 messages Followed by: 1212 members Thanked: 5146 times GMAT Score: 770 Thu Feb 09, 2017 9:35 am Quote: 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 the body weight, by what percent was the prescribed dosage greater than the typical dosage? A) 8% B) 9% C) 11% D) 12.5% E) 14.8% We can use equivalent ratios to determine what the dosage SHOULD have been. We'll use the ratio of drug dosage (in cubic centimeters)/body weight (in pounds) Let x = the dosage (in cubic centimeters) the patient SHOULD have received We get: 2/15 = x/120 Cross multiply to get: 15x = (2)(120) Simplify: 15x = 240 Solve: x = 16 So, the patient SHOULD have received a dosage of 16 cubic centimeters Instead, the patient was prescribed a dosage of 18 cubic centimeters Percent increase = 100(new - original)/original = 100(18 - 16)/16 = 200/16 = 12.5 Answer: D Cheers, Brent _________________ Brent Hanneson – Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see all of our free resources Thanked by: rsarashi, neeti2711 GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 8708 messages Followed by: 460 members Thanked: 2732 times GMAT Score: 800 Thu Feb 09, 2017 9:42 am Hi rsarashi, This question is essentially about working through the necessary arithmetic. Thankfully, the math itself isn't that tough, but you do have to stay organized to make sure that you're setting up the proper calculations. We're told that a typical dose of a drug is 2 cm^3 per 15 pounds. With a 120 pound person, there are 8 15-pound "sets", so the typical dose would be 8(2 cm^3) = 16 cm^3. Since the doctor prescribed 18 cm^3 of the drug, the dose was clearly larger than the typical dose. The question asks by what percent greater was that dose. Since 18 is "2 more" than 16, we can know that the prescribed dose was 2/16 = 1/8 = 12.5% greater than it typically would be. Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com Thanked by: rsarashi ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2301 messages Followed by: 115 members Thanked: 1069 times GMAT Score: 770 Thu Feb 09, 2017 9:45 am rsarashi wrote: 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 the body weight, by what percent was the prescribed dosage greater than the typical dosage? A) 8% B) 9% C) 11% D) 12.5% E) 14.8% OAD We could also do a little back-solving here. The easiest answer choice to test would be D, as 12.5% converts to a nice fraction, 1/8. If 18 is 1/8 more than the appropriate amount, then 18 is 9/8 of this amount. 18 = (9/8)x --> 16 = x. If the appropriate amount is 16, and the weight is 120, we get a ratio of 16/120 or 2/15. That's what we want! The answer is D _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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shashank.ism Legendary Member
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Fri Feb 10, 2017 4:41 am
rsarashi wrote:
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 the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%

B) 9%

C) 11%

D) 12.5%

E) 14.8%

Dose is 2 cc per 15 pound.
Patient weight is 120 pound.
The dose required by patient is 120/15 x 2 = 16 cc

Dose recommended by doctor is 18 cc.
Percentage by which prescribed dose is higher = 2/16 x 100 = 12.5% Answer D

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Wed Feb 15, 2017 9:39 am
rsarashi wrote:
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 the body weight, by what percent was the prescribed dosage greater than the typical dosage?

A) 8%

B) 9%

C) 11%

D) 12.5%

E) 14.8%
The typical dosage is 2 cubic centimeters (cc) per 15 pounds of body weight. We can set up a proportion to determine what the typical number of cc of the drug would be for a patient with a body weight of 120 pounds:

2/15 = x/120

240 = 15x

240/15 = x

16 = x

Thus, the typical dose for this 120-pound patient is 16 cc. To determine the percent greater than this dose that 18 cc would be, we can use the percent change formula.

(Doctor dose - typical dose)/typical dose x 100%

(18 - 16)/16 x 100% = 2/16 x 100% = 0.125 x 100% = 12.5%

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