Answer:445 student tickets were sold.
75 adult tickets were sold.
Explanation:
Let x represent the number of student tickets that were sold in the talent show.
Let y represent the number of adult tickets that were sold in the talent show.
The talent show committee sold a total of 530 tickets in advance. This means that
x + y = 530
Student tickets cost $3 each and the adult tickets cost $5 each. The total receipts were $1740. This means that
3x + 5y = 1740 - - - - - - - - - - - - 1
Substituting x = 530 - y into equation 1, it becomes
3(530 - y) + 5y = 1740
1590 - 3y + 5y = 1740
- 3y + 5y = 1740 - 1590
2y = 150
y = 150/2 = 75
x = 530 - y = 530 - 75
x = 455
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