Solutions
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Question
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?
Option A:
$24960
Option B:
$25920
Option C:
$28080
Option D:
$28500
Option E:
$29160
Difficulty Level
HardSolution
Option E is the correct answer.
Option Analysis
From 9:00 in the morning to 5:55 in the afternoon, inclusive there are 9*12=108 five-minute intervals, thus a 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.
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