The sophmore class at south high school raised $800 from ticket sales for the dance. Tickets sold for $1.50 pre - sale, and $2.00 at the door. If a total of 475 tickets were sold how many tickets were sold at the door?

So they sold 300 tickets in advance and 175 tickets at the door.

Step-by-step explanation:

175 tickets were sold at the door.

Step-by-step explanation:

Let x = number of pre-sale tickets.

Let y = number of tickets sold at the door.

Equation for total number of tickets:

x + y = 475

Equation of total price of tickets:

1.5x + 2y = 800

System of equations:

x + y = 475

1.5x + 2y = 800

Solve the first equation for x:

x = 475 - y

Substitute into second equation.

1.5(475 - y) + 2y = 800

712.5 - 1.5y + 2y = 800

0.5y = 87.5

y = 175

175 tickets were sold at the door.