The tickets to a high school hockey game cost either $6 or $11. A total of 450 tickets, worth $3,950, were sold. How much of the $3,950 was made from selling the $6 tickets?

$1200 was made from selling the $6 ticket.

Step-by-step explanation:

Let x represent the number of tickets sold at $6 per ticket.

Let x represent the number of tickets sold at $11 per ticket.

A total of 450 tickets were sold. It means that

x + y = 450

The total amount for which the tickets were sold was $3,950. It means that

6x + 11y = 3950- - - - - - - -- - - 1

Substituting x = 450 - y into equation 1, it becomes

6(450 - y) + 11y = 3950

2700 - 6y + 11y = 3950

- 6y + 11y = 3950 - 2700

5y = 1250

5y = 1250/5

y = 250

x = 450 - y = 450 - 250

x = 200

The total amount made from selling the $6 tickets is

200 × 6 = $1200