Enter total number of adult and child tickets

Question

Mary is buying tickets for a movie.
Each adult ticket costs $9.
Each child ticket costs $5.
Mary spends $110 on tickets.
Mary buys 14 total tickets.

Enter the total number of adult tickets and total number of child tickets she buys.

Answer 1

Let x = the number of child tickets

Let y = the number of adult tickets

x + y = 14       x = 14 - y

5x +9y = 110

5(14 - y) + 9y = 110

70 - 5y + 9y = 110

4y = 40

y = 10

x = 14 - 10 = 4