Answer:
Each child admissions ticket was sold for $69.94
Explanation:
At the movie theater, child admissions is $5.70 an adult admission is $9.20 on Sunday.
If each child admissions ticket is represented as c and each adult admission is represented as a, then, this means that:
123 tickets were sold. This means that:
c + a = 123______ (1)
and they were sold for a total of $886.60. This means that:
5.70c + 9.20a = 886.60_____ (2)
We have two simultaneous equations:
c + a = 123 _______________(1)
5.7c + 9.2a = 886.8_________(2)
From (1):
a = 123 - c _______________(3)
Putting (3) in (2), we have that:
5.7c + 9.2(123 - c) = 886.8
5.7c + 1131.6 - 9.2c = 886.8
Collecting like terms and simplifying:
=> 9.2c - 5.7c = 1131.6 - 886.8
3.5c = 244.8
c = 244.8 / 3.5
c = $69.94
This means that each child admissions ticket was sold for $69.94.