Answer:
Students ticket = 125
Adults ticket = 425
Step-by-step explanation:
Let Student ticket = S
Adult ticket = A
A + S = 550 ..... (1)
The price for a student ticket was $12.50, and the price for an adult ticket was $16.00. The register confirms that $8,362.50 was taken in that is
16A + 12.5S = 8362.5 ...... (2)
Solve equation 1 and 2 simultaneously
A + S = 550
16A + 12.5S = 8362.5
Multiply S in equation 1 by 12.5
12.5A + 12.5S = 6875
16A + 12.5S = 8362.5
3.5A = 1487.5
A = 1487.5/3.5
A = 425 tickets
Substitute A in equation (1)
425 + S = 550
S = 550 - 425
S = 125 ticket