Question

Karen sells tickets at a movie theater. Last night she sold 128 tickets for a total of $1108. Adult's tickets cost $10 and children's tickets cost $6. How many of each kind of ticket did Karen sell?

Answer 1

Adult's tickets 85

children's tickets 43

Explanation:

x + y = 128

10x + 6y = 1108

x = 128 - y

10(128 - y) + 6y = 1108

1280 - 10y + 6y = 1108

1280 - 4y = 1108

-4y = 1108 - 1280

-4y = -172

y = -172/-4

y = 43

x = 128 - y

x = 128 - 43

x = 85