Answer:the price of a senior citizen's ticket is $5
the price of a student tickets is $7
Explanation:
Let x represent the price of a senior citizen's ticket.
Let y represent the price of a student tickets.
On the first day of ticket sales the school sold 7 seniors citizen tickets and 14 student tickets for a total of $133. This means that
7x + 14y = 133 - - - - - - - - - - 1
The school took in $89 on the second day by selling 8 senior citizen tickets and 7 student tickets. This means that
8x + 7y = 89 - - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 2, it becomes
7x + 14y = 133
16x + 14y = 178
Subtracting, it becomes
- 9x = - 45
x = - 45/-9
x = 5
Substituting x = 5 into equation 2, it becomes
8 × 5 + 7y = 89
40 + 7y = 89
7y = 89 - 40 = 49
y = 49/7 = 7