Question

You selling tickets to a football game. Student tickets cost $4 and general admission tickets cost $7. You sell 213 tickets and collect $1146. How many of each type of ticket did you sell

Answer 1

Answer:115 student tickets and 98 general admission tickets were sold.

Explanation:

Let x represent the number of student tickets that you sold.

Let y represent the number of general admission tickets that you sold.

Total number of tickets that you sold is 213. It means that

x + y = 213

Student tickets cost $4 and general admission tickets cost $7. The total cost of all tickets that were sold is $1146. It means that

4x + 7y = 1146 - - - - - - - - - - - - 1

Substituting x = 213 - y into equation 1, it becomes

4(213 - y) + 7y = 1146

852 - 4y + 7y = 1146

- 4y + 7y = 1146 - 852

3y = 294

y = 294/3 = 98

x = 213 - y = 213 - 98

x = 115