For a certain art exhibit, a museum sold admission tickets

Hi All,

The math 'steps' behind this question can be done in a couple of different 'orders', depending on how you choose to think about the given information. Here's an approach that accounts for the difference in the price of the two types of tickets at the end of the calculation:

We're told that 30 tickets are sold every 5 minutes; there are 12 'groups' of 5 minutes in each hour, so...

(30)(12) = 360 tickets sold per hour (meaning from 9:00 to 9:55)

From 10:00 to 10:55, another 360 tickets are sold, etc. From 9:00am to 5:55pm, we have 9 hours worth of sales...

(9)(360) = 3240 total tickets

IF every ticket sold cost $10, then we'd have...

(3240)(10) = $32,400

HOWEVER, 1 out of every 4 tickets was actually a student ticket (which costs $6 instead of $10), so we have to subtract $4 for every student ticket in the total.

(3240 total tickets)(1/4) = 820 student tickets
(820 student tickets)($4) = $3280

Total revenue = $32,400 = $3280 = $29,160

Final Answer:

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Rich