The cost of 1 adult ticket is $ 9.125 and cost of 1 child ticket is $ 8.875
Solution:
Let "a" be the cost of 1 adult ticket
Let "c" be the cost of 1 child ticket
Movie tickets for two adults and two children cost $36
Therefore,
2(a + c) = 36
a + c = 18 -------- eqn 1
An adult ticket cost 25% more than a child ticket
Therefore,
Cost of 1 adult ticket = 25 % + cost of 1 child ticket
a = 25 % + c
a = 0.25 + c ----- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
0.25 + c + c = 18
0.25 + 2c = 18
2c = 18 - 0.25
2c = 17.75
c = 8.875
Substitute c = 8.875 in eqn 2
a = 0.25 + 8.875
a = 9.125
Thus cost of 1 adult ticket is $ 9.125 and cost of 1 child ticket is $ 8.875