Answer:the number of adult tickets that were sold is 160
the number of students tickets that were sold is $125
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of students tickets that were sold.
A total of 285 tickets are sold. This means that
x + y = 285
Adult tickets are $4 and student tickets are $1. A total of 285 tickets are sold for $765. This mean that
4x + y = 765 - - - - - - - - - - 1
Substituting x = 285 - y into equation 1, it becomes
4(285 - y) + y = 765
1140 - 4y + y = 765
- 4y + y = 765 - 1140
- 3y = - 375
y = - 375/-3 = 125
Substituting y = 125 into x = 285 - y, it becomes
x =285 - 125 = 160 tickets
