Regal theater in tikahtnu sold 548 tickets to moana on sunday. 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. how many adults tickets were sold? children's tickets?

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

lol

step-by-step explanation: