A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders

Respuesta :

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

[tex]Occupied\ Seats = \frac{5}{9} * 270[/tex]

[tex]Occupied\ Seats = \frac{1350}{9}[/tex]

[tex]Occupied\ Seats = 150[/tex]

Next is to determine the number of seats occupied by concessionary ticket holders.

[tex]Number = 40\%\ of\ occupied\ seats[/tex]

[tex]Number = 40\%\ of\ 150[/tex]

Convert percentage to decimal

[tex]Number = 0.4 * 150[/tex]

[tex]Number = 60[/tex]

Hence, 60 seats were occupied by concessionary ticket holders.