Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 45180

The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
03 Mar 2014, 01:28
3
This post received KUDOS
Expert's post
4
This post was BOOKMARKED
Question Stats:
78% (01:03) correct 22% (01:11) wrong based on 509 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionThe cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person? (A) x/6 (B) x/10 (C) x/16 (D) 3x/40 (E) 3x/80 Problem Solving Question: 124 Category: Algebra Applied problems Page: 77 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 45180

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
03 Mar 2014, 01:28



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
Updated on: 08 Aug 2014, 03:08
5
This post received KUDOS
1
This post was BOOKMARKED
Answer = (E) \(\frac{3x}{80}\) When 16 people are decided to go, cost per person \(= \frac{x}{16}\) .............. (1) However, after this, only 10 people go. So cost of 6 has to be shared between them. From (1)..... cost for 6 people \(= 6 * \frac{x}{16}\) \(\frac{6x}{16}\) has to be shared among the remaining 10, so \(\frac{6x}{(16*10)}\) Answer \(= \frac{3x}{80}\)
_________________
Kindly press "+1 Kudos" to appreciate
Originally posted by PareshGmat on 03 Mar 2014, 02:53.
Last edited by PareshGmat on 08 Aug 2014, 03:08, edited 1 time in total.



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1837
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
03 Mar 2014, 02:58
3
This post received KUDOS
One more method, say x = 80 When 16 people were to go, it was 5 $ per person 6 people dropped off (6*5) = 30 $$ These 30 $$ are to be shared with the remaining 10, so per person = 3$ additional burden
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 22 Jun 2013
Posts: 38

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
04 Mar 2014, 03:21
2
This post received KUDOS
One more Method:
Initial Cost = x/16
New Cost Incurred = x/10
So the cost per person to be paid extra = New Cost Old Cost
x/10  x/16 = 3x/80
Option E



Math Expert
Joined: 02 Sep 2009
Posts: 45180

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
08 Mar 2014, 11:49



Director
Joined: 10 Mar 2013
Posts: 563
Location: Germany
Concentration: Finance, Entrepreneurship
GPA: 3.88
WE: Information Technology (Consulting)

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
11 Jun 2014, 14:52
4
This post received KUDOS
Let X be 80: 80/10=8 and 80/16=5 the difference is 85=3 Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3
_________________
When you’re up, your friends know who you are. When you’re down, you know who your friends are.
Share some Kudos, if my posts help you. Thank you !
800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50 GMAT PREP 670 MGMAT CAT 630 KAPLAN CAT 660



Intern
Joined: 31 Aug 2014
Posts: 22

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
12 Sep 2015, 13:19
2
This post received KUDOS
BrainLab wrote: Let X be 80: 80/10=8 and 80/16=5 the difference is 85=3 Plugin 80 for X in the answer choices the result must equal to 3 you can quickly see that E is the right answer: (3*80)/80=3 TAKE LCM OF 10 AND 16 IT WILL COME OUT TO 80 ...NOW TAKE X AS 80 .... PUT VALUES IN THE ABOVE EQUATION .. I THINK THIS IS THE SIMPLEST APPROACH Kindly press "+1 Kudos" FOR MOTIVATION AND EXPLANATION
_________________
Please press+ 1kudos if you appreciate this post and for motivation !!



Manager
Joined: 21 Jun 2017
Posts: 78

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
24 Aug 2017, 00:52
More people, the less you spend.
Question asks "how many more dollars, in terms of x". Meaning you have to subtract the lesser value from the more value.
1. x / 16  x/10 2. Create equal denominators > 10x / 160  16x/160 > swap the position of the fraction so no negative > 16x/160  10x/160 = 6x/160 = 3x/80
Therefore (E) 3x / 80



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2597
Location: United States (CA)

Re: The cost to rent a small bus for a trip is x dollars, which [#permalink]
Show Tags
29 Aug 2017, 17:18
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionThe cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person? (A) x/6 (B) x/10 (C) x/16 (D) 3x/40 (E) 3x/80 The cost per person is x/10 if 10 people share the ride. Similarly, the cost per person is x/16 if 16 people share the ride. Thus, the difference is: x/10  x/16 = 8x/80  5x/80 = 3x/80 Answer: E
_________________
Scott WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions




Re: The cost to rent a small bus for a trip is x dollars, which
[#permalink]
29 Aug 2017, 17:18






