Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 23 Jan 2008
Posts: 93

The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
Updated on: 08 Oct 2019, 07:16
Question Stats:
82% (01:15) correct 18% (01:29) wrong based on 134 sessions
HideShow timer Statistics
The total cost of a vacation was divided equally among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost of the vacation? A. $200 B. $300 C. $400 D. $500 E. $600
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by blog on 31 Jan 2008, 20:00.
Last edited by Bunuel on 08 Oct 2019, 07:16, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.



SVP
Joined: 29 Mar 2007
Posts: 1993

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
31 Jan 2008, 21:33
blog wrote: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
1. $200 2. $300 3. $400 4. $500 5. $600 x/3=c x/4=c50 > x/4=x/350 > x/4x/3=50 > x/12=50 > x=600 E



VP
Joined: 28 Dec 2005
Posts: 1229

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
31 Jan 2008, 21:45
x/4=x/350 where x is total cost of vacation
x=600



Intern
Joined: 28 Oct 2015
Posts: 21

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
16 Jan 2016, 07:23
C for cost. P price per person. C= 3*P C200=4*P
Substituting the value of P from the first equation onto the second we get P = 200. Plugging in the value of P in the first equation, we get C= 600. Which leads us to answer choice E



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15287
Location: United States (CA)

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
17 Jan 2016, 21:17
Hi All, This question can be solved by TESTing THE ANSWERS. There are also some logical 'shortcuts' in the design of this question that you can take advantage of. We're told that the total cost of a vacation was divided among 3 PEOPLE. We're then told that if the total cost of the vacation had been divided equally among 4 PEOPLE, then the cost per person would have been $50 LESS. We're asked for the total cost of the vacation. Looking at the answer choices, we can see that they're all 'nice' round numbers. Since the total cost was originally going to be divided among 3 people, that cost is almost certainly going to be a multiple of 3. Only answers B and E fit that pattern. Let's TEST Answer B: $300 IF.... Total Cost = $300 Cost for 3 people = $100 each Cost for 4 people = $75 each Difference = $25 This is NOT a match for what we were told (the difference is supposed to be $50). Eliminate Answer B. Notice how $25 is exactly HALF of $50 though.... Maybe we need to DOUBLE all of the values.... Let's TEST Answer E: $600 IF.... Total Cost = $600 Cost for 3 people = $200 each Cost for 4 people = $150 each Difference = $50 This is an exact MATCH for what we were told, so this MUST be the answer. Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4009
Location: Canada

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
24 Jan 2019, 06:46
blog wrote: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
A. $200 B. $300 C. $400 D. $500 E. $600 Let T = total cost of vacation So, T/3 = cost per person with THREE people And T/4 = cost per person with FOUR people If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less.In other words (cost per person with FOUR people) = (cost per person with THREE people)  $50 We can write: T/4 = T/3  50 At this point, we can EITHER test the answer choices OR solve the equation. Let's solve the equation. Take: T/4 = T/3  50 12 is the LCM of 3 and 4, so multiply both sides by 12 to get: 3T = 4T  600 Solve: T = 600 Answer: E Cheers, Brent
_________________
Test confidently with gmatprepnow.com



GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
24 Jan 2019, 07:13
blog wrote: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
A. $200 B. $300 C. $400 D. $500 E. $600
\(? = 12T\,\,\,\,\left[ \$ \right]\) \({\text{per}}\,\,{\text{person}}\,\,\,:\,\,\,\frac{{12T}}{3} = \frac{{12T}}{4} + 50\,\,\,\,\, \Rightarrow \,\,\,T = 50\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = 600\,\,\,\,\left[ \$ \right]\) We follow the notations and rationale taught in the GMATH method. Regards, Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT) Our highlevel "quant" preparation starts here: https://gmath.net



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4774
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
24 Jan 2019, 07:49
blog wrote: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
A. $200 B. $300 C. $400 D. $500 E. $600 \(\frac{x}{3}  \frac{x}{4} = 50\) So, We know that x must be completely divisible by both 3 & 4 Least possible value of x is LCM of 3 & 4 = 12 Now, Check the options, Only (E) 600 is divisible by 12, thus Answer must be (E)
_________________



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)

Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
Show Tags
01 Feb 2019, 18:34
blog wrote: The total cost of a vacation was divided among 3 people. If the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $50 less. What was the total cost cost of the vacation?
A. $200 B. $300 C. $400 D. $500 E. $600 We let x = the total cost of the vacation and create the equation: x/4 = x/3  50 Multiplying both sides of the equation by 12, we have: 3x = 4x  600 600 = x Answer: E
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: The total cost of a vacation was divided equally among 3 people. If
[#permalink]
01 Feb 2019, 18:34






