Adult tickets for a play cost $13 and child tickets cost $10. If there were 22 people at a performance and the theater collected $277 from ticket sales, how many adults and how many children attended the play?

Answer 1

Adult tickets sold = x
Children's tickets sold = y

x + y = 22
13x + 10 y = 277

Solve that pair of equations.
Hint: substitute 22-x for y in the second equation, and solve for x. .

Answer 2

The next step would be
13x + 220 - 10x = 277
3x = 277-220 = 57
Divide both sides by 3 and you have x.
You know how to get y after that.

Answer 3

Adults= 11 30 total
Child- 5