If the total ticket sales was $ 1822, How many children, students, and adults attended?

Question

A movie theater has a seating capacity of 251. 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 $ 1822, How many children, students, and adults attended?

  (_______) children attended.

   (_______) students attended.

   (_______) adults attended.

Answer 1

5C+7S+12A = 1822

C=2A

C+S+A = 251

S=251-A-C= 251-A-2A

5(2A) + 7(251-3A) + 12A = 1822

10A + 1757 -21A +12A = 1822

A = 1822-1757 = 65

A=65

C=130

S=251-3(65) = 251-195= 56

S=56

65 adults, 130 children, 56 students