Question

Martin was selling tickets for a basketball game in a high school. He sold

1,250 tickets and the total amount collected for the game was $2,750. The
student tickets cost $2 each, and adult tickets cost $3 each. How many
student and adult tickets were sold?

Answer 1

• 1,000 student tickets.
• 250 adult tickets.

Explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

→

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000