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Register now and save up to $200 Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 ## OG 2017 Ratio Question This topic has 4 expert replies and 1 member reply mv2019 Newbie | Next Rank: 10 Posts Joined 12 Jul 2016 Posted: 2 messages #### OG 2017 Ratio Question Wed Jul 13, 2016 10:14 am The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than 30. (2) The total number of shirts and dresses in the closet is 26. ### GMAT/MBA Expert Scott@TargetTestPrep GMAT Instructor Joined 25 Apr 2015 Posted: 891 messages Followed by: 5 members Upvotes: 43 Fri Dec 08, 2017 7:39 am mv2019 wrote: The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than 30. (2) The total number of shirts and dresses in the closet is 26. We are given that the ratio of shirts to dresses to jackets is 9 to 4 to 5. Thus: shirts : dresses : jackets = 9x : 4x : 5x We also are given that there are more than 7 dresses in the closet and must determine the total number of articles of clothing in the closet, i.e., the value of 9x + 4x + 5x = 18x. Statement One Alone: The total number of shirts and jackets in the closet is less than 30. Using the information in statement one, we can create the following inequality: 9x + 5x < 30 14x < 30 x < 30/14 x < 2 1/7 Thus, x could either be 1 or 2. If x = 1, then there are 4 dresses. If x = 2, then there are 8 dresses. Since the number of dresses is greater than 7, x must be 2. So there are 9(2) + 4(2) + 5(2) = 18 + 8 + 10 = 36 articles of clothing in the closet. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E. Statement Two Alone: The total number of shirts and dresses in the closet is 26. Using the information in statement two, we can create the following equation: 9x + 4x = 26 13x = 26 x = 2 Once again, since we have determined the value of x, we have enough information to answer the question. Statement two is also sufficient to answer the question. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Matt@VeritasPrep GMAT Instructor Joined 12 Sep 2012 Posted: 2637 messages Followed by: 114 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Fri Jul 22, 2016 2:04 am S1: We know that Shirts + Jackets = 9*(some integer) + 5*(some integer) = 14*(some integer) Since this number < 30, we must have 14 or 28. But if we only have 14, then we'd have 4 dresses (ratio 9 : 4 : 5) ... and we've got more than 4 dresses! So the only possibility is 28, with 8 dresses and a ratio of 18 : 8 : 10. SUFFICIENT S2: Similar to the above, we'd have 9*some integer + 4*some integer = 26, so "some integer" = 2, and we're set: we know that the ratio multiplier is 2. SUFFICIENT Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now! ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 120 members Upvotes: 1153 GMAT Score: 770 Wed Jul 13, 2016 10:24 am mv2019 wrote: The only articles of clothing in a certain closet are shirts, dresses, and jackets. The ratio of the number of shirts to the number of dresses to the number of jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet? (1) The total number of shirts and jackets in the closet is less than 30. (2) The total number of shirts and dresses in the closet is 26. Number of shirts: 9x Number of dresses: 4x Number of jackets: 5x Total articles of clothing: 18x If there are more than 7 dresses, and the number of dresses is 4x, we know that x must be at least 2, giving us a minimum of 8 dresses. To the statements! S1: we know that 9x + 5x < 30, or that 14x < 30. We also know that x cannot be 1, as we'd have fewer than 7 dresses in that scenario. Therefore x must be 2. (If x = 3, then 14x would not be less than 30.) Total articles of clothing = 18*2 = 36. Sufficient. S2: 9x + 4x = 26. 13x = 26. x = 2. Same information. This is also sufficient. The Answer is D. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!
Danny@GMATAcademy Junior | Next Rank: 30 Posts
Joined
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Posted:
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Wed Jul 13, 2016 10:32 am
Here's a video explanation for this question: https://www.youtube.com/watch?v=5iFLsVP2MO0

For more on the method used in the video above, see the videos below:

Intro to the chart method for ratios: https://www.youtube.com/watch?v=WfHm5SF95vU
Using the ratio chart in Data Sufficiency: https://www.youtube.com/watch?v=MA686n6S4z8

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Rich.C@EMPOWERgmat.com Elite Legendary Member
Joined
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Posted:
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GMAT Score:
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Wed Jul 13, 2016 11:33 am
Hi mv2019,

This DS question can be solved rather easily with a bit of 'brute force' and some simple arithmetic. To start, it's worth noting that you CANNOT have a 'fraction' of a piece of clothing. We're told that the ratio of shirts:dresses:jackets is 9:4:5, so the number of shirts MUST be a multiple of 9, the number of dresses MUST be an equivalent multiple of 4 and the number of jackets MUST be an equivalent multiple of 5. I'm going to put together a quick list of the first few potential possibilities...

There COULD be...
9 shirts/4 dresses/5 jackets
18 shirts/8 dresses/10 jackets
27 shirts/12 dresses/15 jackets
36 shirts/16 dresses/20 jackets
Etc.

We're also told that there are MORE than 7 dresses. We're asked for the total number of articles of clothing.

(1) The total number of shirts and jackets in the closet is less than 30.

With this Fact, we can look at our notes and find whatever options fit this information (AND include MORE than 7 dresses). There's only one...

18 shirts/8 dresses/10 jackets
Fact 1 is SUFFICIENT.

(2) The total number of shirts and dresses in the closet is 26.

With this Fact, we can again look at the available options. There's only one...

18 shirts/8 dresses/10 jackets
Fact 2 is SUFFICIENT.

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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