A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main seats for $ 30 comma and balcony seats for $ 20.  If all the seats are sold, the gross revenue to the theater is $ 23 comma 200.  If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000. How many are there of each kind of seat? orchestra seats: main seats: balcony seats:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

Putting value of x in equations (1) and (2):

Equation (1)

Equation (2)

Equation (5) - 2 Equation(4):

Putting value of y in equation (4):

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.