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?

Question

Mandy

Mathematics

6 October, 15:05

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?

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Answers (1)

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Delilah Farley · 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