finding out how many tickets of each type are sold based on the total value.

Question

A theatre contains 449 seats and the ticket prices for a recent play were ​$54 for adults and ​$17 for children. If the total proceeds were $14,959 for a​ sold-out matinee, how many of each type of ticket were​ sold?

Answer 1

54a + 17c = 14959

449 = a+c

a=198 adult tickets sold, c=251 child tickets sold

(198,251) is the intersection point of the two lines when graphed