Question

a theatre contains 431 seats and the ticket prices for a record play were $53 for adults and $24 for children. if the total proceeds were $15,390 for a sold out mantinee, how many of each type of ticket were sold?

Answer 1

x = adult
y = children

53(x+y=431)
53x +24y = 15390$

53x+53y = 22,843
subtract from
53x+24y = 15,390

29y = 7,453$
y = 257

53x + 24 (257) = 15,390
53x + 6,168 = 15,390
53x = 9,222
x = 174