Tickets for a school football game cost 1.00 if purchased before the day of the game. they cost 1.50. 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

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