Question

Tickets for a reserved seats, r, for the basketball game cost $5 each and student tickets, s, cost $2 each. There were 3540 people who attended the basketball game in a total of $9024 was earned in ticket sales. Select the two equations that represent the situation

R + S = 9024
R + S = 3540
5R + 2S = 9024
2R + 5S = 9024
2R + 5S = 3540

Answer 1

(b) R + S = 3540

(c) 5R + 2S = 9024

Explanation:

You want two equations to describe the relations ...

• a total of 3540 Reserved seat and Student tickets were sold
• at $5 for a Reserved seat and $2 for a Student ticket, revenue totaled $9024.

Equations

Using R for the number of Reserved seat ticket sold, and S for the number of Student tickets sold, the total number sold is described by the equation ...

R + S = 3540 . . . . . . . . total ticket sold

The revenue from the sale of each kind of ticket is the product of the ticket price and the number of tickets. Adding these products gives the total revenue:

5R +2S = 9024 . . . . . . dollar amount of ticket sales