Question

A movie theater has a seating capacity of 333. 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 $
2422, How many children, students, and adults attended?

Answer 1

182 children, 91 adults, 60 students

Explanation:

The quantity of adults is x, then the quantity of children are 2x, the quantity of students is 333-x-2x=333-3x. The charge from all adults is 12x, students gave 7*(333-3x), children gave 5*2x=10x, the sum of all money is 2422

12x+ 7(333-3x)+10x=2422

12x+2331-21x+10x=2422

2331+x=2422

x=91- the amount of adults

1) 91*2=182- the amount of children

333-91-182= 60- the amount of students