Question

University theater sold 529 tickets for a play. Tickets cost $25 per adult and $15 per senior citizen. If total receipts were $9745, how many senior citizen tickets were sold?

Answer 1

Adults = x

Senior Citizens = y

x + y = 529......1

25x + 15y = 9745...2

Multiply (1) by 15

15x + 15y = 7935....3

25x + 15y = 9745....2

Subtract 3 from 2

10x = 1810

 

x = 181

Substitute x = 181 in

Eq (1)

x + y = 529

181 + y = 529

y = 529 - 181

y = 348

181 adults and 348 Senior Citizens

Hope this helps.