Question

question
the drama club is selling tickets to their play to raise money for the show’s expenses. each student ticket sells for $5.50 and each adult ticket sells for $9.50. there was a total of $703 in revenue from the sale of 98 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 \\(\square = \\) \\(\quad\\).

let \\(\square = \\) \\(\quad\\).

system of equations:
\\(\quad\\)
\\(\quad\\)

Explanation:

Step1: Define variables

Let $s$ = number of student tickets sold, $a$ = number of adult tickets sold.

Step2: Total tickets equation

Total tickets sold is 98:
$$s + a = 98$$

Step3: Total revenue equation

Revenue from students + adults = $703$:
$$5.50s + 9.50a = 703$$

Answer:

Let $s$ = number of student tickets sold
Let $a$ = number of adult tickets sold
System of Equations:
$s + a = 98$
$5.50s + 9.50a = 703$