Let the number of adults tickets = a
Let the number of children’s tickets = c
Form 2 equations:
825 tickets total:
a + c = 825 (1)
Cost of tickets:
2.50a + 1.00c = 1,462.50
c = 1462.50 - 2.5a (2)
Solve equations (1) & (2) simultaneously:
Sub (2) into (1):
a + (1462.5 - 2.5a) = 825
a - 2.5a = -637.5
-1.5a = -637.5
a = 425
Sub a=425 into (1):
425 + c = 825
c = 400
Therefore 450 adults tickets and 400 children’s tickets were sold
