Answer:the price of one adult ticket is $15
the price of one student ticket is $5
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales, the school sold nine adult tickets and six students ticket for a total of $165. This means that
9x + 6y = 165 - - - - - - - - -1
The school took $105 on the second day by Selling three adult tickets and 12 student tickets. This means that
3x + 12y = 105 - - - - - - - - - 2
Multiplying equation 1 by 3 and equation 2 by 9, it becomes
27x + 18y = 495
27y + 108y = 945
Subtracting, it becomes
- 90y = - 450
y = - 450/- 90
y = $5
Substituting y = 5 into equation 1, it becomes
9x + 6 × 5 = 165
9x + 30 = 165
9x = 165 - 30 = 135
x = 135/9 = $15
