Question

Adult tickets for a play cost $19 and child tickets cost $17. If there were 36 people at a performance and the theatre collected $646 from ticket sales, how many children attended the play?

Answer 1

let c be the total number of tickets for children
let a be the total number of tickets for adults

The equations are:
c + a = 36
19a + 17c = 646

Solving for c:

a = 36 - c

17c + 19(36 - c) = 646

17c - 19c + 684 = 646

-2c = -38

c = 19

Answer 2

Thanks!