Question

For a certain event, 812 tickets were sold, for a total of $1912. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold

Answer 1

let number student tickets = x and non students tickets = y

x + y = 812
also
2x + 3y = 1912

solving these 2 equations gives your answer

Answer 2

can u do this?

Answer 3

multiply 1st equation by 2:
2x + 2y = 1624
2x + 3y = 1912 subtract first equation for second:
y = 1912 - 1624 = 288

substitute for y in first equation
x + 288 = 812
x = 812 - 288 = 524

so theres 524 students and 288 non student tickets sold.