Question

A theatre contains 441 seats and the ticket prices for a recent play were ​$60 for adults and ​$16 for children. If the total proceeds were ​$14,800 for a​ sold-out matinee, how many of each type of ticket were​ sold?

Answer 1

14,800=60x+16y
x+y=441
that implies y=441-x so
14,800=60x+16(441-x)
14,800=60x+16*441-16x
14,800-16*441=44x
7744=44x
x=176 kids and 441-176 adults