Answer:
The price of both tickets is $12 each
Step-by-step explanation:
System of Equations
Let's call:
x = price of a senior citizen ticket
y = price of a child ticket.
On the first day of ticket sales, the school sold 6 senior citizen tickets and 2 child tickets for $96. Setting up the first equation:
6x + 2y = 96
Dividing by 2:
3x + y = 48 [1]
On the second day, the school sold 6 senior citizen tickets and 4 child tickets for $120:
6x + 4y = 120
Dividing by 2:
3x + 2y = 60 [2]
Subtracting [2] and [1]:
2y - y = 60 - 48
y = 12
From [1]:
3x + 12 = 48
3x = 48 - 12 = 36
x = 36/3 = 12
x = 12
The price of both tickets is $12 each
