A theater contains 441 seats and the ticket prices for a recent play were $45 for adults and $21 for children. if the total proceeds were 13,797 for a sold out matinee, how many of each type of ticket were sold?.

Answer 1

a = Number of adults

c = Number of children

Total numbers of spectator = 441

a + c = 441

Total proceeds = 13,797 $

a * 45 $ + c * 21 $ = 13,797 $

Now you must solve system of two equation :

a + c = 441

45 a + 21 c = 13,797

Try it.

The solutions are :

a = 189

c = 252

Proof :

a * 45 $ + c * 21 $ =

189 * 45 $ + 252 * 21 $ =

8,505 $ + 5,292 $ = 13,797 $

Answer 2

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