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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?

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

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31 Oct 2012, 05:13

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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.

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

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01 Nov 2012, 13:26

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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

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

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01 Nov 2012, 14:29

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

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

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03 Jan 2013, 14:08

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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.

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

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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.

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

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04 Mar 2013, 11:28

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?

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. _________________

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.

you rock! I envy you! _________________

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

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.

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. _________________

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.

Please help?

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. _________________

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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