Number of adult tickets = 75
Number of student tickets = 175
Solution:
Let x represents the number of adult tickets and
y represents the number of student tickets.
Total number of tickets sold = 250
⇒ x + y = 250 – – – – (1)
Cost of adult ticket = $15
Cost of student ticket = $5
Total cost of collection = $2000
15x + 5y = 2000 – – – – (2)
Multiply equation (1) by 5
⇒ (1) × 5 5x + 5y = 1250 – – – – (3)
Subtract equation (3) from equation (2), we get
15x + 5y – 5x – 5y = 2000 – 1250
⇒ 10x = 750
⇒ x = 75
Substitute x = 75 in equation (1), we get
⇒ 75 + y = 250
⇒ y = 250 – 75
⇒ y = 175
Number of adult tickets = 75
Number of student tickets = 175
