Question

Adult tickets for the school play cost 6 dollars in student tickets cost 4 dollars. 20 more adult tickets were sold and student tickets. If $270 was collected, how many of each type of ticket was sold?

Answer 1

Answer: 35 adult tickets and 15 student tickets were sold.

Explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

20 more adult tickets were sold and student tickets. It means that

x = y + 20

Adult tickets for the school play cost 6 dollars and student tickets cost 4 dollars. If $270 was collected, it means that

6x + 4y = 270- - - - - - - - - - - 1

Substituting x = y + 20 into equation 1, it becomes

6(y + 20) + 4y = 270

6y + 120 + 4y = 270

6y + 4y = 270 - 120

10y = 150

y = 150/10

y = 15

x = y + 20 = 15 + 20

x = 35