Answer: 400 adult tickets and 325 children's tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of children's tickets tickets that were sold.
725 tickets were sold for the game. It means that
x + y = 725
If adult tickets sold for $2.500 and children's tickets sold for $1.50 and the total amount for which the tickets were sold $1,487.50, it means that
2.5x + 1.5y = 1487.50- - - - - - - - -1
Substituting x = 725 - y into equation 1, it becomes
2.5(725 - y) + 1.5y = 1487.50
1812.5 - 2.5y + 1.5y = 1487.50
- 2.5y + 1.5y = 1487.50 - 1812.5
- y = - 325
y = 325
x = 725 - y = 725 - 325
x = 400
