Question

A theatre sells 1986 tickets. 234 more adult tickets are sold than child tickets, and 186 more child tickets are sold than student tickets. How many child tickets are sold?

Answer 1

646 child tickets are sold

Explanation:

Let c represent the number of child tickets sold. Then (c-186) is the number of student tickets sold, and (c+234) is the number of adult tickets sold. The total number sold is ...

(c -186) + c + (c+234) = 1986

3c +48 = 1986 . . . simplify

c + 16 = 662 . . . . divide by 3

c = 646 . . . . . . . . . subtract 16

The number of child tickets sold is 646.