Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,465 was collected on the sale of 1,077 tickets. How many of each type of ticket were sold?

Answer 1

Assign x to adult tickets and y to student tickets, then set up the system
5x+y=2465 and
x+y=1077
You can subtract the second equation from the first to get
4x=1388
=> x=347
Then to find y do 1077-347 to find
y=730

Final answer:
347 adult tickets and 730 student tickets were sold.
Hope I helped :)

Answer 2

Let, the number of student tickets = x
Number of Adult's ticket = y

Equations = x + 5y = 2465
x + y = 1077

Subtract the equations, 
4y = 1388
y = 1388/4
y = 347

Substitute it in 2nd equation, 
x + 347 = 1077
x = 1077 - 347 = 730

In short, Student tickets = 730; Adult tickets = 347

Hope this helps!