A Broadway theater has 700 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 50 comma main seats for $ 40 comma and balcony seats for $ 25. If all the seats are sold, the gross revenue to the theater is $ 26 comma 250. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 22 comma 750. How many are there of each kind of seat?There are orchestra seats?
main seats?
balcony seats?

orchestra seats = 140 seats

main seats = 350 seats

balcony seats = 210 seats

Step-by-step explanation:

Let x = number of orchestra seats

Let y = number of main seats

Let z = number of balcony seats

Theater has 700 seats. Thus;

Total seat equation is;

x + y + z = 700 - - - - (1)

We are told Orchestra seats sell for $ 50, main seats for $ 40, and balcony seats for $ 25 and a gross revenue of $26,250

Thus ;

all seats revenue equation is;

50x + 40y + 25z = 26250 - - - (eq2)

Now, we are told that, when all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 22,750

Thus, we have;

½(50x) + 40y + 25z = 22,750

Which gives ;

25x + 40y + 25z = 22,750 ---(eq3)

Solving the 3 equations simultaneously, we have;

x = 140

y = 350

z = 210

don't know sorry bru

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.