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The cost of each adult's ticket for a certain concert was $3

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The cost of each adult's ticket for a certain concert was $3 [#permalink]

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New post Updated on: 18 Feb 2014, 01:14
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  25% (medium)

Question Stats:

66% (00:43) correct 34% (00:46) wrong based on 256 sessions

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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.

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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.
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Re: GMAT Prep DS - average concert ticket cost [#permalink]

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New post 15 Nov 2006, 21:27
1
wshaffer wrote:
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.
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 [#permalink]

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New post 15 Nov 2006, 23:44
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
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Re: GMAT Prep DS - average concert ticket cost [#permalink]

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New post 26 Jun 2011, 05:53
thanks for the answer...i am convinced abt the answer...
its A
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Re: The cost of each adult's ticket for a certain concert was [#permalink]

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New post 17 Feb 2014, 16:09
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
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Re: The cost of each adult's ticket for a certain concert was [#permalink]

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New post 17 Feb 2014, 22:18
Ace1144 wrote:
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.

Check this post for more on weighted averages: http://www.veritasprep.com/blog/2011/03 ... -averages/
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Re: The cost of each adult's ticket for a certain concert was [#permalink]

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New post 19 Feb 2014, 06:43
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 wrote:
Ace1144 wrote:
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.

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Re: The cost of each adult's ticket for a certain concert was [#permalink]

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New post 19 Feb 2014, 21:14
1
sunnymon wrote:
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 wrote:
Ace1144 wrote:
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.
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Re: The cost of each adult's ticket for a certain concert was $3 [#permalink]

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New post 16 Feb 2017, 19:08
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.
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Re: The cost of each adult's ticket for a certain concert was $3   [#permalink] 16 Feb 2017, 19:08
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