Question 67483
Tickets for a football game cost $1.00 each if purchased before the day of the game. They cost $1.50 each if bought at the gate. For the homecoming game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate?"
:
Let x = number of gate tickets, ($1.50)
:
Since there were 600 tickets sold, let (600-x) = the $1 tickets
:
1.50 tickets + $1 tickets = $700
:
1.5x + 1(600 - x) = 700
1.5x - x = 700 - 600
.5x = 100
x = 100/.5
x = 200 ea 1.50 tickets sold at the gate
;
;
Check: there were 600 - 200 = 400 ea $1 tickets sold
1.50(200) + 1(400) = $700