It is currently 11 Dec 2017, 21:44

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

An amusement park currently charges the same price for each ticket of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135294 [0], given: 12686

An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 13 Nov 2014, 09:42
Expert's post
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

79% (02:12) correct 21% (02:45) wrong based on 140 sessions

HideShow timer Statistics

Tough and Tricky questions: Word problems.



An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by \($3\), 12 fewer tickets could be bought for \($160\), excluding sales tax. What is the current price of each ticket?

A. \($3\)
B. \($5\)
C. \($8\)
D. \($20\)
E. \($32\)

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135294 [0], given: 12686

1 KUDOS received
Manager
Manager
avatar
Joined: 10 Sep 2014
Posts: 99

Kudos [?]: 52 [1], given: 25

Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 13 Nov 2014, 10:14
1
This post received
KUDOS
1
This post was
BOOKMARKED
Answer A: 160/3 = 50.33 tickets. 160/6 = 25.66 tickets, difference is not 12
Answer B: 160/5= 32, 160/8 = 20, difference of 12

Answer B!!!

Kudos [?]: 52 [1], given: 25

Intern
Intern
avatar
Joined: 05 Sep 2013
Posts: 9

Kudos [?]: 11 [0], given: 47

Location: Georgia
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 13 Nov 2014, 11:07
A) 160/3=53.33 not integer (eliminate)
B) 160/5=32 160/2=80 difference is not 12 (eliminate)
C) 160/8=20 160/5=32 32-20=12

Answer: C

Kudos [?]: 11 [0], given: 47

2 KUDOS received
Manager
Manager
avatar
Joined: 12 May 2013
Posts: 80

Kudos [?]: 43 [2], given: 12

Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 13 Nov 2014, 11:36
2
This post received
KUDOS
Hey! this is how i got the answer.

160/x = (160/x) +12

Solve the equation and we will get x= -8 or x=5, the price of the ticket cannot be negative so x=5 is the correct answer.
B

Kudos [?]: 43 [2], given: 12

3 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

Kudos [?]: 2783 [3], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 13 Nov 2014, 20:34
3
This post received
KUDOS
Answer = B = 5

Price ............. Quantity .................. Total

a ...................... \(\frac{160}{a}\) ..................... 160 (Assume price = "a")

a+3 ................... \(\frac{160}{a} - 12\) ............... 160 (Price increased by 3, sales decline by 12)

Solving the equation

\((a+3)* (\frac{160}{a} - 12) = 160\)

\(a^2 + 3a - 40 = 0\)

a = 5
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2783 [3], given: 193

Manager
Manager
avatar
Joined: 05 Jun 2014
Posts: 70

Kudos [?]: 32 [0], given: 51

GMAT 1: 630 Q42 V35
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 14 Nov 2014, 02:40
Plug in is the best approach for this question to save time. Answer is B.

Kudos [?]: 32 [0], given: 51

1 KUDOS received
Intern
Intern
User avatar
Joined: 04 Jul 2014
Posts: 48

Kudos [?]: 39 [1], given: 40

Schools: Smeal" 20
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 14 Nov 2014, 05:03
1
This post received
KUDOS
Bunuel wrote:

Tough and Tricky questions: Word problems.



An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by \($3\), 12 fewer tickets could be bought for \($160\), excluding sales tax. What is the current price of each ticket?

A. \($3\)
B. \($5\)
C. \($8\)
D. \($20\)
E. \($32\)

Kudos for a correct solution.


Let price be p & no. of tickets be n.

p*n = 160
(p+3)*(n-12) = 160

If price is 3, n = 160/3, n is not a whole no. , so 3 is not the answer
If price is 5, n=32 from 1st eqn...checking with 2nd equation 8*(n-12) = 160 -> 8n = 256 -> n=32. Price $5 satisfies both equations.

Hence answer B.

Kudos [?]: 39 [1], given: 40

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135294 [0], given: 12686

Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 14 Nov 2014, 09:32
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:

Tough and Tricky questions: Word problems.



An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by \($3\), 12 fewer tickets could be bought for \($160\), excluding sales tax. What is the current price of each ticket?

A. \($3\)
B. \($5\)
C. \($8\)
D. \($20\)
E. \($32\)

Kudos for a correct solution.


Official Solution:

An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by \($3\), 12 fewer tickets could be bought for \($160\), excluding sales tax. What is the current price of each ticket?

A. \($3\)
B. \($5\)
C. \($8\)
D. \($20\)
E. \($32\)

The question asks us to determine the current price of each ticket of admission.

If we let \(p\) equal the current price per ticket, and \(n\) equal the number of tickets that can be bought for \($160\), we can set up some equations. First, we know that \(pn = 160\).

Second, we are told that if \(p\) is increased by 3, then 12 fewer tickets can be bought with \($160\). This equation also expresses how many tickets can be bought for \($160\), giving us: \((p + 3)(n - 12) = 160\).

Solve the first equation for \(n\), giving: \(n = \frac{160}{p}\).

Substitute this value for \(n\) into the second equation, solving for \(p\):

\((p + 3)(\frac{160}{p} - 12) = 160\)

Multiply both sides by \(p\) to get rid of the fraction: \((p + 3)(\frac{160}{p} - 12)p = (p + 3)(160 - 12p) = 160p\).

Multiply through to get rid of the parentheses: \(160p - 12p^2 + 480 - 36p = 160p\).

Combine like terms: \(124p - 12p^2 + 480 = 160p\). Set the equation equal to 0: \(0 = 12p^2 + 36p - 480\).Divide both sides by 12: \(0 = p^2 + 3p - 40\).

Factor: \(0 = (p - 5)(p + 8)\).

Therefore, \(p = 5\) or \(p = -8\). Since the the price cannot be negative, \(p = 5\).

Answer: B.
_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135294 [0], given: 12686

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14909

Kudos [?]: 287 [0], given: 0

Premium Member
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 23 Jun 2016, 15:35
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 287 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14909

Kudos [?]: 287 [0], given: 0

Premium Member
Re: An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 19 Aug 2017, 19:26
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 287 [0], given: 0

VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1108

Kudos [?]: 397 [0], given: 640

An amusement park currently charges the same price for each ticket of [#permalink]

Show Tags

New post 20 Aug 2017, 08:36
Bunuel wrote:

Tough and Tricky questions: Word problems.



An amusement park currently charges the same price for each ticket of admission. If the current price of admission were to be increased by \($3\), 12 fewer tickets could be bought for \($160\), excluding sales tax. What is the current price of each ticket?

A. \($3\)
B. \($5\)
C. \($8\)
D. \($20\)
E. \($32\)

Kudos for a correct solution.

A 90-second approach using answer choices (maybe quicker -- I only caught this 20 seconds in, after trying C the long way).

The $160 total stays constant, but the ticket price goes up by $3.

Add $3 to each answer, and you eliminate four answers very quickly: A, C, D, and E.

The new prices for those four choices do not divide evenly into $160.* Total price / price per ticket = # of tickets, which will not be a whole integer at new price.

A. ($3-->$6)
C. ($8-->$11)
D. ($20-->$23)
E. ($32-->$35)

That leaves B. If brave, mark and move on. If not (raises hand), check.

$160/$5 = 32 tickets sold

$160/$8 = 20 tickets sold

Higher price = 12 fewer tickets. Correct.

Answer B

*
-- C and D (11 and 23) are pretty obvious.
--If uncertain about A, add digits of 160; not divisible by 3, so not divisible by 6.
-- For E, 35 * 2 = 70, doubled is $140. The extra is $20 (160-140). That won't work; you can't divide 20 by 35 evenly.

Kudos [?]: 397 [0], given: 640

An amusement park currently charges the same price for each ticket of   [#permalink] 20 Aug 2017, 08:36
Display posts from previous: Sort by

An amusement park currently charges the same price for each ticket of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.