SOLUTION: A theata theatre contains 451 seats and the ticket prices for a recent play were $53 for adults and $29 for children if the total proceeds were $17375 for a sold out movie how many

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A theata theatre contains 451 seats and the ticket prices for a recent play were $53 for adults and $29 for children if the total proceeds were $17375 for a sold out movie how many      Log On


   

Question 966080: A theata theatre contains 451 seats and the ticket prices for a recent play were $53 for adults and $29 for children if the total proceeds were $17375 for a sold out movie how many of each type of ticket were sold?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of adult tickets
c = number of children's tickets

a + c = 451
53a + 29c = 17375

Multiply the first equation by 53. We are going to eliminate the variable "a."

53a + 53c = 23903
- (53a + 29c = 17375)
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24c = 6528 ----> c = 272

There were 179 adult tickets and 272 children's tickets.