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# In a movie theater, 30 people enter the theater every 5

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Director
Joined: 14 Sep 2005
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Location: South Korea
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In a movie theater, 30 people enter the theater every 5 [#permalink]  26 Nov 2005, 06:29
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20. In a movie theater, 30 people enter the theater every 5 minutes. From 9:00 am till 5:55 pm (inclusive), the number of adults who entered the theater is 3 times as many as the number of children. The price of ticket for adults is $10, and the price of the tickets for children is$6. What is the total revenue?
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Auge um Auge, Zahn um Zahn !

Last edited by gamjatang on 30 Nov 2005, 23:28, edited 1 time in total.
Director
Joined: 24 Oct 2005
Posts: 660
Location: London
Followers: 1

Kudos [?]: 7 [0], given: 0

In 1 hr, there are 12 no of 5 minutes. Each 5 minute 30 people. So 1 hr 360 people. There are 9 hrs between 9.00 am and 5.55pm . Therefore total no of people = 360*9 = 3240.
Children = X
x + 2X = 3240
X = 1080

Children = 1080
Revenue = (1080 * 6) + (2160 * 10) = 28080
Manager
Joined: 11 Jul 2005
Posts: 86
Location: New York
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Re: PS - (AG) Movie theater's revenue [#permalink]  26 Nov 2005, 08:18
gamjatang wrote:
20. In a movie theater, 30 people enter the theater every 5 minutes. From 9:00 am till 5:55 pm (inclusive), the number of adults who entered the theater is 3 times as many as the number of children. The price of ticket for adults is $10, and the price of the tickets for children is$6. What is the total revenue?

Could you provide the answer choices for this?

It looks like there i some inconsistencies unless I am missing something..

30 people enter every 5 min

9.00 to 5.55 = 8 hours and 55 min= 480+55=535 minutes ie 107 5min interval

now a=3c
so 3c+c=107*30=3210
here is the problem you will not get c as an abolute figure... and we expect it to be the number of children.
Director
Joined: 14 Sep 2005
Posts: 994
Location: South Korea
Followers: 2

Kudos [?]: 44 [0], given: 0

From 9:00 till 9:55 => 12 intervals
From 10:00 till 10:55 => 12 intervals
From 11:00 till 11:55 => 12 intervals
From 12:00 till 12:55 => 12 intervals
From 13:00 till 13:55 => 12 intervals
From 14:00 till 14:55 => 12 intervals
From 15:00 till 15:55 => 12 intervals
From 16:00 till 16:55 => 12 intervals
From 17:00 till 17:55 => 12 intervals
-------------------------------------------
From 9:00 till 17:55 => 108 intervals

108 intervals * 30 people = total of 3,240 people

3,240 people = 2,430 adults + 810 children

2,430 adults * $10 =$24,300

810 children * $6 =$4,860

$24,300 +$4,860 = $29,160 The OA is$29,160.
_________________

Auge um Auge, Zahn um Zahn !

Director
Joined: 24 Oct 2005
Posts: 660
Location: London
Followers: 1

Kudos [?]: 7 [0], given: 0

remgeo wrote:
In 1 hr, there are 12 no of 5 minutes. Each 5 minute 30 people. So 1 hr 360 people. There are 9 hrs between 9.00 am and 5.55pm . Therefore total no of people = 360*9 = 3240.
Children = X
x + 2X = 3240
X = 1080

Children = 1080
Revenue = (1080 * 6) + (2160 * 10) = 28080

Oh no.. I read the question as no of adults is twice the no of children. It is actually 3 times. Otherwise I would have go the answer

I am really worried about my carelessness
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