Answer: 63 student tickets and 38 adult tickets were sold
Explanation:
Mike sold raffle tickets for adults and students for the school football game.
Let x= number of student tickets sold
Let y= number of adult tickets sold
The raffle tickets were $3 for students and $7 for adults. This means x student tickets cost $3x and y adult tickets cost $7y
When Mike looked at how much he collected, he counted $455 and 101 ticket stubs. This means
3x + 7y = 455 - - - - - -1
x + y = 101
Substituting x = 101 - y into equation 1, it becomes
3(101 - y) + 7y = 455
303 -3y + 7y = 455
-3y +7y = 455 - 303
4y = 152
y = 152/4 = 38 tickets
x = 101 - y
x = 101 - 38
x = 63 tickets