Question

A movie theater has a seating capacity of 249. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1806, How many children, students, and adults attended?

Answer 1

9514 1404 393

Answer:

• 126 children
• 63 adults
• 60 students

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.