Question

Tickets for a concert cost $35 for balcony seats and $75 for floor seats. Tickets at the same venue for a theatrical production cost $25 for balcony seats and $60 for floor seats. If tickets for all the seats are sold, the venue generates $27,750 in revenue for a concert and $21,750 for a theatrical production. Which system of equations can be used to find the number of floor seats and balcony seats in the theater?

A.35 x + 75 y = 21,750. 25 x + 60 y = 27,750.

B.35 x + 75 y = 27,750. 25 x + 60 y = 21,750.

C.75 x + 35 y = 27,750. 25 x + 60 y = 21,750.

D.75 x + 35 y = 21,750. 25 x + 60 y = 27,750.

Answer 1

B. 35 x + 75 y = 27,750. 25 x + 60 y = 21,750

Explanation:

Concert:

- Total: $27,750

- Balcony seats: $35

- Floor seats: $75

Theatrical production:

- Total: $21,750

- Balcony seats: $25

- Floor seats: $60