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.

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
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.
Let
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.
System of Equations:

Answer 1

Let's define the variables:

Let S = number of student tickets sold
Let A = number of adult tickets sold

The system of equations can be written as:

Equation 1: The total number of tickets sold is 67:
S + A = 67

Equation 2: The revenue from the sale of tickets is $543:
7S + 9A = 543

So, the system of equations is:
S + A = 67
7S + 9A = 543