Answer: 125 student tickets and 350 adult tickets were sold.
Step-by-step explanation:
Let x represent the number of student tickets that were sold.
Let y represent the number of adult tickets that were sold.
A concert manager counted 475 ticket receipts the day after a concert. This means that
x + y = 475
The price for a student ticket was $13.50, and the price for an adult ticket was $15.00. The register confirms that $6,937.50 was taken in. This means that
13.5x + 15y = 6937.50 - - - - - - - - 1
Substituting x = 475 - y into equation 1, it becomes
13.5(475 - y) + 15y = 6937.50
6412.5 - 13.5y + 15y = 6937.50
- 13.5y + 15y = 6937.50 - 6412.5
1.5y = 525
y = 525//1.5 = 350
x = 475 - y = 475 - 350
x = 125
