Last visit was: 19 Apr 2025, 07:09 It is currently 19 Apr 2025, 07:09
Home
GMAT
Messages
Tests
Schools
Reviews
Rewards
Chat
My Profile
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
wshaffer
User avatar
Joined: 12 Jul 2006
Last visit: 24 Oct 2008
Posts: 84
Own Kudos:
252
 [22]
Posts: 84
Kudos: 252
 [22]
The cost of each adult's ticket for a certain concert was $3 Updated on: 18 Feb 2014, 01:14
Originally posted by wshaffer on 15 Nov 2006, 21:11.
Last edited by Bunuel on 18 Feb 2014, 01:14, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
3
Kudos
Add Kudos
19
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

15% (low)

Question Stats:

75% (01:11) correct 25% (01:13) wrong based on 723 sessions

History

Date
Time
Result
Not Attempted Yet
The cost of each adult's ticket for a certain concert was $30, and the cost of each child's ticket for the concert was $24. If Hannah purchased tickets for this concert, what was the average (arithmetic mean) cost per ticket?

(1) Hannah purchased twice as many children's tickets as adult's tickets.
(2) Hannah purchased 4 children's tickets.
ShowHide Answer
Official Answer
A
User avatar
Priyah
User avatar
Joined: 29 Aug 2006
Last visit: 26 Oct 2007
Posts: 93
Own Kudos:
21
 [2]
Posts: 93
Kudos: 21
 [2]
The cost of each adult's ticket for a certain concert was $3 15 Nov 2006, 21:27
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
wshaffer
The cost of each adult's ticket for a certain concert was $30, and the cost of each child's ticket was $24. If Hannah purchased tickets for this concert, what was the average cost per ticket?

(1) Hannah purchased 2x as many children's tickets as adult tickets.
(2) Hannah purchased 4 children's tickets.

Please show your work. Thanks.


nbr of adult tickets=a
nbr of children tickets=c
average=(30a+24c)/a+c

S1 says c=2a

average= 30a+24*2a/3a
=78a/3a
=26

suff

s2 is insuff since we dont know relation between a and c.
hence A.
User avatar
lfox2
User avatar
Joined: 03 Jul 2005
Last visit: 10 Jan 2008
Posts: 117
Own Kudos:
115
Location: City
Posts: 117
Kudos: 115
The cost of each adult's ticket for a certain concert was $3 15 Nov 2006, 23:44
Kudos
Add Kudos
Bookmarks
Bookmark this Post
From the question stem we know that

Adult Ticket = $30 (A)
Childrens Ticket =$24 (C)

From 1. we know that A= x AND C = 2x so we can test.
If there were x = 1 then the average ticket price is $26.

1(36) + 2(24) = 78 and 78 divided by 3 tickets is $26

If x = 2 the average ticket price is also #26.

2(36) + 4(24) = 156 and 156 divided by 6 tickets is $36

SUFF

2. Does not give any information that would help solve this question INSUFF

MY ANSWER IS A
avatar
harshavmrg
avatar
Joined: 25 Feb 2010
Last visit: 06 Dec 2012
Posts: 104
Own Kudos:
277
Given Kudos: 16
Status:I will not stop until i realise my goal which is my dream too
Schools: Johnson '15
Schools: Johnson '15
Posts: 104
Kudos: 277
The cost of each adult's ticket for a certain concert was $3 26 Jun 2011, 05:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
thanks for the answer...i am convinced abt the answer...
its A
avatar
Ace1144
avatar
Joined: 17 Feb 2014
Last visit: 19 Feb 2014
Posts: 1
Posts: 1
Kudos: 0
The cost of each adult's ticket for a certain concert was $3 17 Feb 2014, 16:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hey champs... the OA: is A
still it looks like if hannah purchased 4 child tickets only, than the avg would of been the price of the ticket...
so b would of been sufficient...
but OA says A
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 18 Apr 2025
Posts: 15,889
Own Kudos:
72,688
 [2]
Given Kudos: 462
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 15,889
Kudos: 72,688
 [2]
The cost of each adult's ticket for a certain concert was $3 Updated on: 17 Oct 2022, 00:31
Originally posted by KarishmaB on 17 Feb 2014, 22:18.
Last edited by KarishmaB on 17 Oct 2022, 00:31, edited 1 time in total.
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Ace1144
hey champs... the OA: is A
still it looks like if hannah purchased 4 child tickets only, than the avg would of been the price of the ticket...
so b would of been sufficient...
but OA says A

You would be assuming that she purchased no adult's ticket if statement 2 were to be sufficient. But it is not given that she purchased no adult tickets or 'only children's tickets'. You cannot assume this is DS questions. Statement 2 only tells you how many children's tickets she purchased. It gives you incomplete information.

Statement 1 alone is sufficient since it tells you the ratio of the number of adult's tickets and children's tickets. With this ratio, you can easily find the average.
avatar
sunnymon
avatar
Joined: 27 Jan 2014
Last visit: 04 Jul 2015
Posts: 6
Own Kudos:
24
Given Kudos: 12
Location: India
Concentration: General Management, Finance
Schools: HBS '16 Wharton '16
GMAT Date: 04-25-2014
GPA: 3.77
WE:Project Management (Finance: Investment Banking)
Schools: HBS '16 Wharton '16
Posts: 6
Kudos: 24
The cost of each adult's ticket for a certain concert was $3 19 Feb 2014, 06:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Karishma, but doesn't it also mean assuming otherwise - that tickets for both categories were purchased definitely. It is not given in the question stem that tickets for both categories (Adult and Children) were purchased. Statement 2, in my view, should also be self sufficient to answer the question (keeping no assumptions in mind).


VeritasPrepKarishma
Ace1144
hey champs... the OA: is A
still it looks like if hannah purchased 4 child tickets only, than the avg would of been the price of the ticket...
so b would of been sufficient...
but OA says A

You would be assuming that she purchased no adult's ticket if statement 2 were to be sufficient. But it is not given that she purchased no adult tickets or 'only children's tickets'. You cannot assume this is DS questions. Statement 2 only tells you how many children's tickets she purchased. It gives you incomplete information.

Statement 1 alone is sufficient since it tells you the ratio of the number of adult's tickets and children's tickets. With this ratio, you can easily find the average.

User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 18 Apr 2025
Posts: 15,889
Own Kudos:
72,688
 [1]
Given Kudos: 462
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 15,889
Kudos: 72,688
 [1]
The cost of each adult's ticket for a certain concert was $3 19 Feb 2014, 21:14
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sunnymon
Karishma, but doesn't it also mean assuming otherwise - that tickets for both categories were purchased definitely. It is not given in the question stem that tickets for both categories (Adult and Children) were purchased. Statement 2, in my view, should also be self sufficient to answer the question (keeping no assumptions in mind).


VeritasPrepKarishma
Ace1144
hey champs... the OA: is A
still it looks like if hannah purchased 4 child tickets only, than the avg would of been the price of the ticket...
so b would of been sufficient...
but OA says A

You would be assuming that she purchased no adult's ticket if statement 2 were to be sufficient. But it is not given that she purchased no adult tickets or 'only children's tickets'. You cannot assume this is DS questions. Statement 2 only tells you how many children's tickets she purchased. It gives you incomplete information.

Statement 1 alone is sufficient since it tells you the ratio of the number of adult's tickets and children's tickets. With this ratio, you can easily find the average.


You are absolutely not assuming that she must have purchased tickets of both types.

The question is: What is the average price of the tickets she purchased.

What you know from stmnt 2: She purchased 4 children's tickets

How will you answer?
You will say that if she purchased no adult tickets, the average price is $24. If she did purchase adult's tickets too, the avg price is higher. Did you get a definitive unique value for the average price? No. This means this statement is not sufficient alone.

This sufficiency condition is the basic concept of DS questions which you must understand very properly to do well in DS.
User avatar
anairamitch1804
User avatar
Joined: 26 Oct 2016
Last visit: 20 Apr 2019
Posts: 506
Own Kudos:
3,494
 [1]
Given Kudos: 877
Location: United States
Concentration: Marketing, International Business
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE:Education (Education)
Schools: HBS '19
GMAT 1: 770 Q51 V44
Posts: 506
Kudos: 3,494
 [1]
The cost of each adult's ticket for a certain concert was $3 16 Feb 2017, 19:08
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Statement 1:
No of Adult tickets = A
No of children's tickets = 2A

Total cost of tickets = A*30 + 2A*24
Mean = Total/3A = (A*30 + 2A*24)/3A, cancel A from numerator and denominator.

Statement 2:
No info on number of Adult's tickets. Insufficient.

Hence A.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 36,918
Own Kudos:
971
Posts: 36,918
Kudos: 971
The cost of each adult's ticket for a certain concert was $3 28 Jun 2022, 09:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
100761 posts