Answer: 96 adult tickets were sold.
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.
For the last basketball game, 381 tickets were sold. This means that
x + y = 381
Adult tickets sold for $7, and student tickets sold for $3. If the ticket sales totaled 1,527, it means that
7x + 3y = 1527 - - - - - - - - - - - -1
Substituting x = 381 - y into equation 1, it becomes
7(381 - y) + 3y = 1527
2667 - 7y + 3y = 1527
- 7y + 3y = 1527 - 2667
- 4y = - 1140
y = - 1140/- 4
y = 285
x = 381 - y = 381 - 285
x = 96
