• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## The average American spends y dollars on food per month, exc ##### This topic has 3 expert replies and 0 member replies ### Top Member ## The average American spends y dollars on food per month, exc ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year? A)9y - xy/100 B)9y + xy C)9y - xy D)(9y-xy)/9 E)y-xy/6 OA A Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15103 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 BTGmoderatorDC wrote: The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year? A)9y - xy/100 B)9y + xy C)9y - xy D)(9y-xy)/9 E)y-xy/6 Monthly food expense except in January: Let y=$2.
Discount in January:
Let x=100%.

Since $2 is spent each month for 8 of the first 9 months, the total spent during these 8 months = 8*2 = 16. Since food purchases are 100% lower in January -- implying that they are FREE in January -- the amount spent in January = 0. Total spent = 16+0 = 16. The correct answer must yield a value of 16 when y=2 and x=100. Only A works: 9y - (xy/100) = 9*2 - (100*2)/100 = 18-2 = 16. The correct answer is A. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12655 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 BTGmoderatorDC wrote: The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year? A)9y - xy/100 B)9y + xy C)9y - xy D)(9y-xy)/9 E)y-xy/6 This is a Variables in the Answer Choices question (VIAC). This question type can be answered algebraically or using the INPUT-OUTPUT approach. Mitch has demonstrated the INPUT-OUTPUT approach, so let's solve the question algebraically. The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. In other words, January's food purchase amount is x percent less than y x percent = x/100 So, x percent of y = (x/100)(y) = xy/100 So, January's food purchase amount = y - xy/100 Which of the following represents food purchases, in dollars, for the first 9 months of a year? January's food purchase amount = y - xy/100 The food purchase amount for EACH of the other 8 months = y So, the TOTAL cost = y - xy/100 + y + y + y + y + y + y + y + y = y - xy/100 + 8y = 9y - xy/100 Answer: A Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources 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 GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 14 members Upvotes: 43 BTGmoderatorDC wrote: The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year? A)9y - xy/100 B)9y + xy C)9y - xy D)(9y-xy)/9 E)y-xy/6 OA A Source: Princeton Review For 8 months, not counting January, the total expenditure for food is 8y. In January, the amount spent on food is (100 - x)/100 * y = (100y - xy)/100 So for the first 9 months, the total expenditure for food is: 8y + (100y - xy)/100 Getting a common denominator,we have: 800y/100 + (100y - xy)/100 (900y - xy)/100 = 900y/100 - xy/100 = 9y - xy/100 Answer: A _________________ Scott Woodbury-Stewart Founder and CEO • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live 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 Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
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

### Top First Responders*

1 fskilnik@GMATH 55 first replies
2 GMATGuruNY 52 first replies
3 Brent@GMATPrepNow 51 first replies
4 Jay@ManhattanReview 39 first replies
5 Rich.C@EMPOWERgma... 23 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

198 posts
2 fskilnik@GMATH

GMATH Teacher

154 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

97 posts
4 Max@Math Revolution

Math Revolution

89 posts
5 GMATGuruNY

The Princeton Review Teacher

76 posts
See More Top Beat The GMAT Experts