The price of one senior citizen ticket is $ 4.50.
Let x = price of one senior citizen ticket and y = price of one child ticket.
Now, since On the first day, the school sold 14 senior citizen tickets and 1 child ticket for a total of $66.50. WE have that
14x + y = 66.50 (1)
Also, on the second day, the school sold 2 senior citizen tickets and 2 child tickets for a total of $16.00. We have that
2x + 2y = 16.00 (2)
From (1), y = 66.50 - 14x
Substituting y into (2), we have
2x + 2y = 16.00
2x + 2(66.50 - 14x) = 16.00
2x + 2(66.50 - 14x) = 16.00
2x + 133 - 28x = 16
2x - 28x = 16 - 133
-26x = -117
x = -117/-26
x = 4.5
So, the price of one senior citizen ticket is $ 4.50.
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