Question

university theater sold 465 tickets for a play. ticket cost $23 per adult and $13 per senior citizen. if total receipts were $7145, how many senior citizen tickets were sold

Answer 1

a=adult tickets

s = senior tickets

a+s=465       a = 465-s

23a + 13s = 7145

substitute in a = 465-a

23 (465-s) + 13s = 7145

distrubute

10695 - 23s +13s =7145

combine like terms

10695 - 10s = 7145

subtract 10695 from each side

-10s = -3550

divide by -10

s = 355

senior tickets sold 355