Question

Tickets for a high school football game cost $2.50 each if purchased at the advanced sale before the day of the game. They cost $3.75 each if bought at the gate in the day of the game. For a particular game, 600 tickets were sold and the receipts were $1750. How many tickets were sold at the gate for this game?

Answer 1

200 tickets

Explanation:

Let x represent the number of tickets sold before the game

Let y represent the number of tickets sold on the day of the game

x + y= 600

x= 600-y............equation 1

2.50x + 3.75y= 1750.......equation 2

Substitute 600-y for x in equation 2

2.50(600-y) + 3.75y= 1750

1500 - 2.50y+ 3.75y= 1750

1500 + 1.25y= 1750

1.25y= 1750-1500

1.25y= 250

y= 250/1.25

y = 200

Hence 200 tickets were sold at the gate for this game