Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

Word problem

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 36
Joined: Thu Jun 20, 2013 7:58 pm
Thanked: 1 times
by Imsukhi » Sat Jun 29, 2013 2:30 am
A group at a hotel has 495$ to share.two person,s left without contributing. And each of those who were left had to pay 10 $ more to make the deficit .
How many we're these in the group originally .?
A 13

B 11
C 9
D 10
E 25

Pls explain
Top
Join the discussion
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Sat Jun 29, 2013 3:01 am
Imsukhi wrote:A group of people is sharing a hotel room. The total price of the room is $495. After two members of the group leave without contributing, the cost per person for each of the remaining members increases by $10. How many people were in the group originally?

9, 10, 11, 13, 25

Pls explain
I've cleaned up the wording of the problem and reordered the answer choices as they would appear on the GMAT.

We can plug in the answers, which imply the following options for the ORIGINAL number of people:
9, 10, 11, 13, 25
These values imply the following options for the REMAINING number of people after 2 members leave:
7, 8, 9, 11, 23

Only the pair in red is composed of two factors of 495.

The correct answer is C.

Answer choice C: 11
For 11 people, the price per person = 495/11 = 45.
For 9 people, the price per person = 495/9 = 55.
Increase in the price per person = 55-45 = 10.
Success!
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 124
Joined: Sun Mar 11, 2012 8:48 pmFollowed by: 1 member
Thanked: 9 times

by aaggar7 » Sat Jun 29, 2013 4:34 am
Hi,

Let no of people = x
Share per head = y

So, xy = 495 --(1)

Next equation,

(x-2)(y+10) = 495

=> xy +10x - 2y -20 = 495

From 1 xy= 495

So 10x -2y -20 = 0

x = 495/y from 1

y^2 + 10y -2475 = 0

y = 45 , y = -55

so x = 11.
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16206
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Sat Jun 29, 2013 6:06 am
A group of people is sharing a hotel room. The total price of the room is $495. After two members of the group leave without contributing, the cost per person for each of the remaining members increases by $10. How many people were in the group originally?

A) 9
B) 10
C) 11
D) 13
E) 25
Let x = the original number of people in the group
So, x - 2 = number of people in the group after 2 leave

So, 495/x = original cost per person
And 495/(x-2) = cost per person after 2 leave

After two members of the group leave without contributing, the cost per person for each of the remaining members increases by $10.
In other words, (cost per person after 2 leave) - (original cost per person) = 10
So, 495/(x-2) - 495/x = 10

IMPORTANT: At this point, it might actually be fastest to plug in the answer choices to see which one works. Or, we can solve the equation for x . . .

495/(x-2) - 495/x = 10
Multiply both sides by (x)(x-2) to get: 495x - 495(x-2) = 10(x)(x-2)
Expand: 495x - 495x + 990 = 10x^2 - 20x
Simplify: 10x^2 - 20x - 990 = 0
Divide both sides by 10: x^2 - 2x - 99 = 0
Factor: (x - 11)(x + 9) = 0
So, x = 11 or x = -9
We can eliminate x = -9, so x must equal 11

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion