Question

A movie theater has a seating capacity of 171. 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 $ 1222, How many children, students, and adults attended?

Answer 1

Answer: 25 adults, 50 children and 96 students

Explanation:

12x + 5*(2x) + 7*(171-3x) = 1222

12x + 10x + 1,197 - 21x = 1222

x = 1222 - 1,197 = 25 is the number of adults.

2*25 = 50 is the number of children

50*5 = 250

25*12 = 300

300+250 = 550

1222-550 = 672

672/7 = 96