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A ticket selling station sells ticket from 9:00am to 5:55 pm

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Director
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A ticket selling station sells ticket from 9:00am to 5:55 pm [#permalink] New post 29 Sep 2004, 07:48
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A ticket selling station sells ticket from 9:00am to 5:55 pm (inclusive),30 ticket per 5 minutes, regular price is 10 dollars, price for students is 6 dollars. Someday, total amount of regular ticket is three times many as student ticket. What is the revenue of the tickets?
Director
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 [#permalink] New post 29 Sep 2004, 08:12
$28890

Let us consider a sales period to be a 5 minute period.
Between 9-6 there are 9 hours or 9*60 minutes or 9*60/5 (=108) sales periods.
Since the counter closes at 5:55, the number of sales periods is 107.
Total number of tickets sold = 107 * 30/sales period = 3210 tickets

Ratio of Student:Regular tickets = 1:3
Student ticket = 1/4 * 3210 * 6
Regular ticket = 3/4 * 3210 * 10

total = 1/4 * 3210 * 2 (3 + 15) = $28890
Director
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 [#permalink] New post 29 Sep 2004, 08:15
Hardworker, shouldn't it be 107 period of 5 min as the sale terminates at 5:55pm not 6?
Most importantly, shouldn't it be 11 interval per hour? I have just got messed up
S
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 [#permalink] New post 29 Sep 2004, 08:38
saurya_s wrote:
shouldn't it be 107 period of 5 min as the sale terminates at 5:55pm not 6?
Yes.
saurya_s wrote:
shouldn't it be 11 interval per hour?
No, the sales does not take a break after every one hour. It just closes early at 5:55 PM.
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 [#permalink] New post 29 Sep 2004, 08:39
The critical issue in these questions is the number of ticket periods. Well identified.
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 [#permalink] New post 02 Oct 2004, 04:27
just to point out something missed in the solution


student tickets is 3210/4 = 802.5 tickets .Is this possible ( 0.5 tickets)

This means that the student tickets can be 802 or 803

The problem is wrong. or we might get too many answers.
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 [#permalink] New post 03 Oct 2004, 09:44
I think the formulation of the problem was clumsy rather than looking at 802/803 issue.Certainly does not happen with ETS.
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  [#permalink] 03 Oct 2004, 09:44
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