Question

13pts HURRY PLZ!!
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?(there's 2)​

Answer 1

Answer:

35b+75f = 27750

25b+60f = 21750

Step-by-step explanation:

Letting b represent the number of balcony seats, we know that each balcony seat at the concert costs $35; this gives us 35b.

Letting f represent the number of floor seats, we know that each floor seat at the concert costs $75; this gives us 75f.

Together this gives us 35b+75f.

We know that the total revenue for the sold out concert is $27750; this gives us

35b+75f = 27750.

Each balcony seat at the theatrical production costs $25; this gives us 25b.

Each floor seat at the theatrical production costs $60; this gives us 60f.

Together this gives us 25b+60f.

We know that the total revenue for the sold out theatrical production is $21750; this gives us

25b+60f = 27750.