Respuesta :
Solution:
The question is comparing two quantities - the number of seats and the area of the movie theatre.
Given:
[tex]\begin{gathered} 5\text{ seats occupy 35 square f}eet \\ 5\text{seats}=35ft^2 \end{gathered}[/tex]This means the area covered within the auditorium by the 5 seats is 35 square feet.
The dimension of the auditorium is given by;
[tex]\begin{gathered} width=40ft \\ \text{length}=60ft \\ \text{Area}=\text{length}\times width \\ \text{Area}=60\times40 \\ \text{Area}=2400ft^2 \end{gathered}[/tex]To get the number of seats in the auditorium, we compare both quantities;
Let x be the total number of seats in the auditorium
[tex]\begin{gathered} 5\text{seats}=35ft^2 \\ x\text{ number of seats=2400 square f}eet \\ \\ \text{Cross multiplying, we have;} \\ 35\times x=5\times2400 \\ 35x=12000 \\ \text{Dividing both sides by }35\text{ to get x;} \\ x=\frac{12000}{35} \\ x=342.857 \end{gathered}[/tex]Therefore, the total number of seats in the auditorium is approximately 342 seats.
This is because we can not have a seat as a fraction, hence, we discard the remainder.
Hence, we select the whole part alone which is 342 seats.
