Question

question
the drama club is selling tickets to their play to raise money for the show’s expenses. each student ticket sells for $7 and each adult ticket sells for $9. there was a total of $543 in revenue from the sale of 67 total tickets. write a system of equations that could be used to determine the number of student tickets sold and the number of adult tickets sold. define the variables that you use to write the system.
answer attempt 1 out of 2
let
let

Explanation:

Step1: Define variables

Let \( s \) = number of student tickets sold, \( a \) = number of adult tickets sold.

Step2: Set up first equation (total tickets)

Total tickets sold: \( s + a = 67 \)

Step3: Set up second equation (total revenue)

Revenue from student tickets: \( 7s \), revenue from adult tickets: \( 9a \), total revenue: \( 7s + 9a = 543 \)

Answer:

Let \( s \) = number of student tickets sold, \( a \) = number of adult tickets sold.
System of equations:
\(

$$\begin{cases} s + a = 67 \\ 7s + 9a = 543 \end{cases}$$

\)