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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 ## A company bought some desks at a price of$150 each and some

tagged by: swerve

## A company bought some desks at a price of $150 each and some ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A company bought some desks at a price of$150 each and some chairs at a price of $50 each. Did the company buy more than 40 chairs? 1) The total price of the desk and chairs is 5,000. 2) The company bought fewer than 20 desks. The OA is C Source: GMAT Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1975 messages Followed by: 30 members Upvotes: 470 swerve wrote: A company bought some desks at a price of$150 each and some chairs at a price of $50 each. Did the company buy more than 40 chairs? 1) The total price of the desk and chairs is 5,000. 2) The company bought fewer than 20 desks. The OA is C Source: GMAT Prep Say the number of desks = x and the number of chairs = y Thus, 150x + 50y = Total sales We have to determine whether y â‰¥ 40. Let's take each statement one by one. 1) The total price of the desk and chairs is 5,000. 150x + 50y = 5,000 => 3x + y = 100 Case 1: Say y = 40, then x = 10. The answer is Yes. Case 2: Say y = 10, then x = 30. The answer is No. No unique answer. Insufficient. 2) The company bought fewer than 20 desks. y < 20. There is no information about x. Insufficient. (1) and (2) together Case 1: Say y =16, then from 3x + y = 100, we have x = (100 - 16)/3 = 28 < 40. The answer is No. Case 1: Say y =1, then from 3x + y = 100, we have x = (100 - 1)/3 = 33 < 40. The answer is No. Unique answer. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Kukatpally | GMAT Prep Jayanagar | GRE Prep Tarnaka | Madhapur GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15348 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 swerve wrote: A company bought some desks at a price of$150 each and some chairs at a price of $50 each. Did the company buy more than 40 chairs? 1) The total price of the desk and chairs is 5,000. 2) The company bought fewer than 20 desks. Test the THRESHOLD. In the question stem, the threshold is 40 CHAIRS. The total cost of 40 chairs = 40*50 = 2000. Statement 1: The total price of the desks and chairs is 5,000. It is possible that 40 chairs are purchased (at a total cost of$2000) or that MORE CHAIRS are purchased.
INSUFFICIENT.

Statement 2: The company purchased fewer than 20 desks.
No way to determine the number of chairs purchased.
INSUFFICIENT.

Statements 1 and 2 combined:
The THRESHOLD in statement 2 is 20 desks.
The total cost of 20 desks = 20*150 = 3000.
If 20 desks are purchased at a cost of $3000, the remaining$2000 will be spent on exactly 40 chairs.
Since FEWER than 20 desks are purchased, the amount spent on the chairs must be GREATER than $2000, implying that MORE than 40 CHAIRS are purchased. SUFFICIENT. The correct answer is C. _________________ 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. • 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 • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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