A new concert venue just opened in downtown Atlanta and they are in the process of deciding how many tickets they can sell for each show. The venue has three levels, two general admission levels that only have standing room, and one level with 180 seats. The first level of standing room is a square with one side measuring 75’. The second level, also standing room, is a rectangle measuring 130’ by 60’ ft. The third level has 180 seats. The venue thinks each person will occupy 2.25 square feet.
(A) How many tickets should they sell?

Respuesta :

Answer:

[tex]6147\:Tickets[/tex]

Step-by-step explanation:

Area of the first level [tex]=75 X 75=5625 \:ft^2[/tex]

Area of the second level [tex]=130 X 60=7800 \:ft^2[/tex]

Total Area of Standing Room [tex]=5625+7800=13425 \:ft^2[/tex]

Since each person will occupy 2.25 square feet.

Number of Persons that will occupy the standing room

[tex]= 13425 \div 2.25\\=5966.7 \approx 5767\:persons[/tex]

Therefore the number of Tickets that should be sold

=Number of seats + Number for standing Room

=180+5967

[tex]\approx 6147\:tickets[/tex]

Therefore, the concert venue should sell 6,147 tickets.

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