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For a certain art exhibit, a museum sold admission tickets

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For a certain art exhibit, a museum sold admission tickets [#permalink]  28 Oct 2012, 13:02
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52% (03:26) correct 48% (03:18) wrong based on 213 sessions
For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was $10 and the price of a student ticket was$6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?

A. $24960 B.$25920
C. $28080 D.$28500
E. $29160 [Reveal] Spoiler: OA Moderator Joined: 01 Sep 2010 Posts: 2587 Followers: 424 Kudos [?]: 3373 [0], given: 720 Re: GMATPrep question pack 1 problem [#permalink] 28 Oct 2012, 14:45 Expert's post this problem was tough even translating each phrase at time the only thing to be able was strategic guess after the first phrase we have that : $$A + S = 2850$$ (total of tickets) then: $$10A + 6S = X$$(this is the last unknown we want) and we know that for each ticket A we sold 3 times S ticket $$A = 3S$$ At this point looking at the answer choice a guess E and is correct, but i was not able to solve it. something is unclear Hoping in a Mod advice _________________ Math Expert Joined: 02 Sep 2009 Posts: 27215 Followers: 4228 Kudos [?]: 41031 [4] , given: 5654 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] 31 Oct 2012, 04:13 4 This post received KUDOS Expert's post clarkkent0610 wrote: For a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of a regular admission ticket was$10 and the price of a student ticket was $6. If on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day? A.$24960
B. $25920 C.$28080
D. $28500 E.$29160

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are 9*12=108 five-minute intervals, thus total of 108*30 tickets were sold.

Say x student and 3x regular tickets were sold, then x+3x=108*30 --> x=27*30 and 3x=3*(27*30)=27*90.

Therefore, the total revenue from ticket sales that day was 27*30*6+27*90*10=\$29,160.

Hope it's clear.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  01 Nov 2012, 11:58
1
KUDOS
Expert's post
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  01 Nov 2012, 12:26
1
KUDOS
Expert's post
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  01 Nov 2012, 12:33
2
KUDOS
If you assume they sell the first batch of tickets at 9:00 AM then you get to 108..... although they do not make this very clear in the question.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  01 Nov 2012, 13:29
Expert's post
Bunuel wrote:
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  03 Jan 2013, 13:08
Hi Bunuel,

I just want to understand the following explanation. I have this particular doubt on this question.

Bunuel wrote:
From 9:00 in the morning to 5:55 in the afternoon, inclusive there are 9*12=108 five-minute intervals, thus total of 108*30 tickets were sold.

As you have explained that 9 * 12 = 108. Why we are not taking 8 hrs 55 mins ? After calculating, 12 * 8 = 96+11 (last 55 mins interval) = 107.
Then 107 *30 = 3210, and this differs the answer.

Thanks & Regards
Vinni
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  03 Jan 2013, 13:13
Its Okay. I have got it.

Regards
Vinni
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  17 Feb 2013, 08:53
the 5-minute interval got me too
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  04 Mar 2013, 10:02
Bunuel wrote:
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.

Bunuel,
From 9:00 to 9: 55 there are 11 intervals.. not 12 .. what am I missing?
_________________

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Math Expert
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Kudos [?]: 41031 [0], given: 5654

Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  04 Mar 2013, 10:28
Expert's post
Sachin9 wrote:
Bunuel wrote:
carcass wrote:
Sorry Bunuel but our statement say: 9 Am to 5.55 PM so we have 12*8 = 96 + 11 (and not 12 because the museum sells tickets untill 5.55 PM) so = 107

Thi poin is still unclear for me.

From 9:00 in the morning to 5:55 in the afternoon, inclusive there are are 9*12=108 five-minute intervals, the same way as from 9:00 to 9:55 there are 12 five-minute intervals:
9:00
9:05
9:10
9:15
9:20
9:25
9:30
9:35
9:40
9:45
9:50
9:55

Hope it's clear.

Bunuel,
From 9:00 to 9: 55 there are 11 intervals.. not 12 .. what am I missing?

Check again:
1. 9:00
2. 9:05
3. 9:10
4. 9:15
5. 9:20
6. 9:25
7. 9:30
8. 9:35
9. 9:40
10. 9:45
11. 9:50
12. 9:55
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Kudos [?]: 37 [1] , given: 562

Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  04 Mar 2013, 18:30
1
KUDOS
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : end-of-my-gmat-journey-149328.html#p1197992

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  04 Mar 2013, 19:48
12
KUDOS
Expert's post
1
This post was
BOOKMARKED
Sachin9 wrote:
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55

Yes, we do but the tickets are not sold during the intervals; they are sold at 9:00 am, then at 9:05 am, then at 9:10 am etc...

" a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive."

Take an example.
What does this mean: "I will message you every 5 mins starting from 9:00 in the morning to 5:55 in the evening, inclusive"?
It means I will message at 9:00, at 9:05, at 9:10 and so on till 5:55.

It's exactly the same concept here. The museum sells tickets at 9:00, then at 9:05 etc. When you think of selling tickets, don't think of a long queue moving forward one person at a time, think of tons of people requesting for a ticket at the kiosks and the museum printing 30 tickets every 5 mins.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  05 Mar 2013, 04:59
VeritasPrepKarishma wrote:
Sachin9 wrote:
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55

Yes, we do but the tickets are not sold during the intervals; they are sold at 9:00 am, then at 9:05 am, then at 9:10 am etc...

" a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive."

Take an example.
What does this mean: "I will message you every 5 mins starting from 9:00 in the morning to 5:55 in the evening, inclusive"?
It means I will message at 9:00, at 9:05, at 9:10 and so on till 5:55.

It's exactly the same concept here. The museum sells tickets at 9:00, then at 9:05 etc. When you think of selling tickets, don't think of a long queue moving forward one person at a time, think of tons of people requesting for a ticket at the kiosks and the museum printing 30 tickets every 5 mins.

you rock! I envy you!
_________________

hope is a good thing, maybe the best of things. And no good thing ever dies.

Who says you need a 700 ?Check this out : http://gmatclub.com/forum/who-says-you-need-a-149706.html#p1201595

My GMAT Journey : end-of-my-gmat-journey-149328.html#p1197992

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  20 Apr 2013, 11:33
1
KUDOS
VeritasPrepKarishma wrote:
Sachin9 wrote:
From 9 until 5:55 , we have 11 intervals..

9:00
1
9:05
2
9:10
3
9:15
4
9:20
5
9:25
6
9:30
7
9:35
8
9:40
9
9:45
10
9:50
11
9:55

Yes, we do but the tickets are not sold during the intervals; they are sold at 9:00 am, then at 9:05 am, then at 9:10 am etc...

" a museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive."

Take an example.
What does this mean: "I will message you every 5 mins starting from 9:00 in the morning to 5:55 in the evening, inclusive"?
It means I will message at 9:00, at 9:05, at 9:10 and so on till 5:55.

It's exactly the same concept here. The museum sells tickets at 9:00, then at 9:05 etc. When you think of selling tickets, don't think of a long queue moving forward one person at a time, think of tons of people requesting for a ticket at the kiosks and the museum printing 30 tickets every 5 mins.

Karishma,
Do we have to assume that as soon as the clock ticks 9:00:00, 30 tickets are sold? That sounds bizarre. Realistically, I would think that 30 tickets will be sold between 9:00 and 9:05. Isn't it? Your above example of sending message(s) is different because a message can be sent at a particular time "x." However, sending 30 messages exactly at "x" moment doesn't sound realistic. Do we have to assume that the GMAT thinks that such a case is realistic? I am still not clear ...how will I distinguish between the two facts:-

fact a- tickets sold between 9:00 and 9:05
fact b- tickets sold at 9:00 and 9:05.

Thanks
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  20 Apr 2013, 19:58
Bunuel and Karishma,

The problem does not make it very clear which of the following is the case:

1. Sold 30 tickets starting at 9:00 and 30 tickets starting at 9:05 and so on
2. Sold 30 tickets between 9:00 and 9:05 and so on

I guess one would normally interpret what is said in the problem as meaning the second case. When you say every five minutes we assume it is the interval unlike when you say "every fifth minute" when you assume it is at that point in time.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  20 Apr 2013, 20:37
The key word is "inclusive"

Just like there are three integers between two and four, inclusive (2,3,4), there are twelve five minute intervals between 9:00 and 9:55, inclusive.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  20 Apr 2013, 20:42
1
KUDOS
Expert's post
voodoochild wrote:
Karishma,
Do we have to assume that as soon as the clock ticks 9:00:00, 30 tickets are sold? That sounds bizarre. Realistically, I would think that 30 tickets will be sold between 9:00 and 9:05. Isn't it? Your above example of sending message(s) is different because a message can be sent at a particular time "x." However, sending 30 messages exactly at "x" moment doesn't sound realistic. Do we have to assume that the GMAT thinks that such a case is realistic? I am still not clear ...how will I distinguish between the two facts:-

fact a- tickets sold between 9:00 and 9:05
fact b- tickets sold at 9:00 and 9:05.

Thanks

It's not unrealistic at all. Think of a batch job - a machine takes first 30 requests and processes them together at some particular time. It could take a machine a few secs or a minute to spew out the 30 tickets.
But anyway, we don't have to assume that it must sell all the tickets at that instant. What we do know is that selling 30 tickets takes less than or maximum 5 mins since after 9:00, tickets will be sold at 9:05 again and so on. It's clear from the question that 30 tickets will be sold at 5:55 (whatever time it may take after that) since the word 'inclusive' is given in the question. I can understand a bit of confusion and it may take a few secs extra to understand the question. Please note that it is a GMAT Prep question (according to the tag) and hence it's official. I can only try to explain what the question setter might have imagined when he made this question.
Take solace in the fact that every live GMAT question is closely monitored and if it causes undue confusion, it is removed.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]  20 Apr 2013, 20:56
1
KUDOS
dave785 wrote:
The key word is "inclusive"

Just like there are three integers between two and four, inclusive (2,3,4), there are twelve five minute intervals between 9:00 and 9:55, inclusive.

Dear Dave785,

That exactly is the source of confusion. When you say 30 tickets are sold every five minutes it suggests that interval should be taken but when you see the word "inclusive" it suggests that a point of time should be taken. A GMAT question should not give room for such an ambiguity.
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Re: For a certain art exhibit, a museum sold admission tickets   [#permalink] 20 Apr 2013, 20:56

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