Question

A theater has tickets for $6 for adults, $3.50 for students, and $2.50 for pre-school children. A total of 238 tickets were sold for one showing with a total revenue of $1142. If the number of adult tickets sold was 10 more than twice the number of student tickets, how many of each type ticket were sold for the showing?

Answer 1

a + s + t = 278
60a + 35s + 25t = 13000
a - 2s + 0 = -10
Use any method to get:
a = 150
s = 80
t = 48