A movie 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
