Respuesta :
Given
An opera house has two kinds of seats, orchestra and mezzanine.
The total amount the opera house made in ticket sales for a show last Saturday was $137,000.
sold a total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.
If t represents the cost of an orchestra ticket.
Find the equation representing this situation and complete the statement that follows.
and complete the equation , t = The opera house sold 500 orchestra tickets at $ per ticket.
To proof
As given in the question
total amount the opera house made in ticket sales for a show last Saturday = $137,000.
total of 1,100 mezzanine tickets at $70 a ticket and sold 500 orchestra tickets.
t represents the cost of an orchestra ticket.
Than the equation becomes in the form
1100 × 70 + 500 t = 137000
77000 + 500 t = 137000
500t = 137000 - 77000
500t = 60000
[tex]t = \frac{60000}{500}[/tex]
t = $120
$120 = The opera house sold 500 orchestra tickets at $ per ticket.
Hence proved
