Answer :
Answer:
Total number of student tickets sold were 449.
Step-by-step explanation:
Let the number of student tickets sold = a
and the number of non student tickets = b
Total number of tickets sold = 924
So, a + b = 924 ------(1)
Students ticket costs $2 per ticket and non student ticket costs $3 per ticket and total amount collected = $2323
Therefore, the equation will be,
2a + 3b = 2323 --------(2)
Multiply equation (1) by 3 and subtract from equation (2)
(2a + 3b) - 3(a + b) = 2323 - 2772
2a - 3a + 3b - 3b = -449
-a = -449
a = 449
From equation (1)
b = 924 - a
b = 924 - 449
b = 475
Therefore, total number of student tickets sold were 449.