Answer: 400 adult tickets and 300 children's tickets were sold
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.
700 tickets were sold for the game. It means that
x + y = 700
If adult tickets sold for $2.00 and children's tickets sold for $1.50 and the total amount for which the tickets were sold $1250, iteans that
2x + 1.5y = 1250- - - - - - - - -1
Substituting x = 700 - y into equation 1, it becomes
2(700 - y) + 1.5y = 1250
1400 - 2y + 1.5y = 1250
- 2y + 1.5y = 1250 - 1400
0.5y = 150
y = 150/0.5
y = 300
x = 700 - y = 700 - 300
x = 400