Amovie theater sells tickets for $8 for adults and $6 for students. one evening the theater took in $3580 in revenue by selling 525 tickets. how many adult tickets were sold? how many student tickets were sold?

Write an equation system based on the problem
For an instance, a stands for the number of adult tickets and s stands for the number of student tickets
∴ Total of tickets sold is 525
    a + s = 525 (equation 1)
∴ The sum of the fees is 3580
   8a + 6s = 3580 (equation 2)

Solve the equation system (equation 1 and equation 2)
From equation 1
a + s = 525
s = 525 - a
Substitute to equation 2 in order to find the number of adult tickets
8a + 6s = 3580
8a + 6(525 - a) = 3580
8a + 3150 - 6a = 3580
2a = 3580 - 3150
2a = 430
a = 430/2
a = 215
The number of adult tickets sold is 215

Substitute the number of adult tickets in the equation 1 to find the number of student tickets
s = 525 - a
s = 525 - 215
s = 310
The number of student tickets sold is 310