Question

question
the drama club is selling tickets to their play to raise money for the show’s expenses. each student ticket sells for $6 and each adult ticket sells for $9. there was a total of $747 in revenue from the sale of 93 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
system of equations:
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Explanation:

Step1: Define variables

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

Step2: Form revenue equation

Student tickets: \( \$6 \) each, so revenue from students: \( 6s \).
Adult tickets: \( \$9 \) each, so revenue from adults: \( 9a \).
Total revenue: \( 6s + 9a = 747 \).

Wait, the problem mentions "a total of 93 total tickets" (from the faded text). So we missed the ticket count equation. Let's correct:

Step1 (Revised): Define variables

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

Step2: Ticket count equation

Total tickets: \( s + a = 93 \).

Step3: Revenue equation

Total revenue: \( 6s + 9a = 747 \).

Answer:

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

System of Equations:
\( s + a = 93 \)
\( 6s + 9a = 747 \)