Answer:the number of adult tickets that were sold is 321
the number of adult tickets that were sold is 227
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of adult tickets that were sold.
Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. This means that
x + y = 548
A adult's ticket was $6.50 while a child's ticket was $3.50. In total, they took in $2881 in sales of these ticket. This means that
6.5x + 3.5y = 2881 - - - - - - - - -1
Substituting x = 548 - y into equation 1, it becomes
6.5(548 - y) + 3.5y = 2881
3562 - 6.5y + 3.5y = 2881
- 6.5y + 3.5y = 2881 - 3562
- 3y = - 681
y = - 681/-3 = 227
Substituting y = 227 into x = 548 - y, it becomes
x = 548 - 227 = 321
