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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]

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28 Oct 2012, 14:02
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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 Kudos [?]: 40 [1], given: 1 Board of Directors Joined: 01 Sep 2010 Posts: 3418 Kudos [?]: 9464 [0], given: 1197 Re: GMATPrep question pack 1 problem [#permalink] ### Show Tags 28 Oct 2012, 15:45 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 _________________ Kudos [?]: 9464 [0], given: 1197 Math Expert Joined: 02 Sep 2009 Posts: 42544 Kudos [?]: 135275 [7], given: 12679 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 31 Oct 2012, 05:13 7 This post received KUDOS Expert's post 1 This post was BOOKMARKED 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. Answer: E. Hope it's clear. _________________ Kudos [?]: 135275 [7], given: 12679 Board of Directors Joined: 01 Sep 2010 Posts: 3418 Kudos [?]: 9464 [5], given: 1197 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 01 Nov 2012, 12:58 5 This post received KUDOS 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. _________________ Kudos [?]: 9464 [5], given: 1197 Math Expert Joined: 02 Sep 2009 Posts: 42544 Kudos [?]: 135275 [2], given: 12679 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 01 Nov 2012, 13:26 2 This post received 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. _________________ Kudos [?]: 135275 [2], given: 12679 Intern Joined: 31 Oct 2012 Posts: 1 Kudos [?]: 8 [8], given: 3 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 01 Nov 2012, 13:33 8 This post received 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. Kudos [?]: 8 [8], given: 3 Director Status: Gonna rock this time!!! Joined: 22 Jul 2012 Posts: 505 Kudos [?]: 72 [0], given: 562 Location: India GMAT 1: 640 Q43 V34 GMAT 2: 630 Q47 V29 WE: Information Technology (Computer Software) Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 04 Mar 2013, 11:02 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? _________________ 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 : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992 Kudos [?]: 72 [0], given: 562 Math Expert Joined: 02 Sep 2009 Posts: 42544 Kudos [?]: 135275 [0], given: 12679 Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 04 Mar 2013, 11:28 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 _________________ Kudos [?]: 135275 [0], given: 12679 Director Status: Gonna rock this time!!! Joined: 22 Jul 2012 Posts: 505 Kudos [?]: 72 [1], given: 562 Location: India GMAT 1: 640 Q43 V34 GMAT 2: 630 Q47 V29 WE: Information Technology (Computer Software) Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 04 Mar 2013, 19:30 1 This post received 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 : http://gmatclub.com/forum/end-of-my-gmat-journey-149328.html#p1197992 Kudos [?]: 72 [1], given: 562 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7788 Kudos [?]: 18098 [23], given: 236 Location: Pune, India Re: For a certain art exhibit, a museum sold admission tickets [#permalink] ### Show Tags 04 Mar 2013, 20:48 23 This post received KUDOS Expert's post 3 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... Read the question stem again: " 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 Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]

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20 Apr 2013, 12:33
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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...

Read the question stem again:
" 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]

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20 Apr 2013, 20:58
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]

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20 Apr 2013, 21:37
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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]

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20 Apr 2013, 21:42
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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]

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20 Apr 2013, 21:56
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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]

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20 Apr 2013, 22:17
Expert's post
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Actually the word "inclusive" doesn't seem to help much. It might still mean the intervals starting from the interval 9:00 to 9:05 and ending at the interval 5:50 to 5:55.
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]

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20 Apr 2013, 22:34
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]

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20 Apr 2013, 23:42
dave785 wrote:
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.

Dear Dave,

Why should not the statement "a museum sold admission tickets to 30 people every five minutes", be taken to assume, that the period of selling is a 5 minute interval?
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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]

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21 Apr 2013, 00:11
SravnaTestPrep wrote:
dave785 wrote:
I can definitely see how there might have been some confusion.

This actually is due to a very subtle English language issue that would be difficult even for the best testers at sentence correction.

If it was saying "a museum was selling admission tickets..." then this would imply that each interval counts.

It didn't say that though... it said "a museum sold..."

The difference between the past tense and the past perfect tense (if that's what it's called?) is that the former implies an action that happened at only one specific point in time.

This means that the tickets were sold AT and ONLY at 9:00 for that interval, and that the last tickets were sold AT and ONLY AT 5:55 for that 5 minute interval that would have ended at 6:00. This gives us 108.

If the question had instead asked "a museum was selling..." then we would have had 107 because the interval from 5:55 to 6:00 would not have counted.

Dear Dave,

Why should not the statement "a museum sold admission tickets to 30 people every five minutes", be taken to assume, that the period of selling is a 5 minute interval?

It means the opposite - that every five minutes, 30 tickets are sold. This is not an ongoing process over the five minutes, but rather somethign that happens at one specific time. Therefore, we include all 30 tickets sold at 9:00, since that is one of the specific times, and we also include 30 tickets sold at 5:55, because that is another of the specific times.

Let me rephrase the question:

If someone rings a bell every five minutes, starting at 9:00 and ending at 5:55, how many times will the bell have rung?

To answer that correctly, i don't even need to use the word "Inclusive..." including it is just a courtesy to prevent any mix ups.

Compare that to "someone plays a song with a duration of five minutes, starting at 9:00 and ending at 5:55, how many times will the song have played?"

That answer will be one less than the bell ringing one, because the song has duration.

Past tense "sold" implies an act that happened once and that has no duration.
Past perfect "was selling" implies an act that was ongoing in the past and that had duration.

That's where the mixup is coming in.

As for why it should mean what it means... that's a pretty deep question. The manhattan sentence correction guide does a great job of breaking down the difference between past tense and past perfect (or is it past imperfect?) tense... but I think this is one question that is pretty biased towards US-born English speakers. That's just how we interpret that wording... but while it might be biased, it's also the grammatically correct way to interpret it.

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Re: For a certain art exhibit, a museum sold admission tickets [#permalink]

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21 Apr 2013, 01:04
What about this? The company sold 30 cars every 30 days. Should it be taken to mean that the company sold the cars at a particular point of time only?
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Re: For a certain art exhibit, a museum sold admission tickets   [#permalink] 21 Apr 2013, 01:04

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