Question

Please help me.. please

Answer 1

Hey there! :)

Answer:

$10 balcony

$15 orchestra

Step-by-step explanation:

We can solve for the prices of each seat by creating an algebraic expression:

Let 'x' be the cost of a balcony seat:

and 'x + 5' be the cost of an orchestra seat.

200 of both seats were sold, therefore:

200(x) + 200(x + 5) = 5000

Distribute:

200x + 200x + 1000 = 5000

Combine like terms:

400x + 1000 = 5000

Subtract 1000 from both sides:

400x = 4000

Divide:

x = $10 for the balcony seat.

Substitute this value of x to solve for the cost of an orchestra seat:

(10) + 5 = $15.

Therefore:

$10 balcony

$15 orchestra