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

Hard

Solution

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.