Answer :
The price of 1 senior citizen ticket is $ 8
Solution:
Let "x" be the price of 1 senior citizen ticket
Let "y" be the price of 1 child ticket
The school sold three senior citizen tickets and one child ticket for a total of $38
Therefore, we frame a equation as:
three senior citizen tickets x price of 1 senior citizen ticket + one child ticket x price of 1 child ticket = 38
[tex]3 \times x + 1 \times y = 38[/tex]
3x + y = 38 --------- eqn 1
The school took an $52 on the second day by selling three senior citizen tickets and two child tickets
Therefore, we frame a equation as:
three senior citizen tickets x price of 1 senior citizen ticket + two child ticket x price of 1 child ticket = 52
[tex]3 \times x + 2 \times y = 52[/tex]
3x + 2y = 52 ---------- eqn 2
Solve eqn 1 and eqn 2
Subtract eqn 1 from eqn 2
3x + 2y - 3x - y = 52 - 38
y = 14
Substitute y = 14 in eqn 1
3x + y = 38
3x + 14 = 38
3x = 24
x = 8
Thus the price of 1 senior citizen ticket is $ 8