Needgmat wrote:for a certain art exhibit, a museum sold admission tickets to group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive. The price of 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
Of every 4 tickets sold, 3 are $10 regular tickets and 1 is a $6 student ticket:
3(10) + 6 = 36.
30 tickets are sold every 5 minutes.
Thus, in 60 minutes -- 12 times as long -- the number of tickets sold = 12*30 = 360.
Every 4 of these tickets brings in $36.
Thus, the amount earned every hour by 360 tickets = 360/4 * 36 = 90*36 = 3240.
Thus, in the 9 hours between 9 and 6pm, the total earnings = 9*3240 = 29,160.
The correct answer is
E.
Please note that the last set of 30 tickets is sold at 5:55pm.
Thus, even in the last hour, a total of 360 tickets are sold.
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