A theatre contains 448 seats and the ticket price for a recent play were $60 for adults and $21 for children. If the total proceeds were $17052 for a sold-out matinee, how many of each type of ticket were sold?

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calculista calculista · Answer 1 · 2019-10-24T11:50:28+02:00

Answer:

The number of adults tickets sold was 196 and the number of children tickets sold was 252

Step-by-step explanation:

Let

x ----> the number of adults tickets sold

y ----> the number of children tickets sold

we know that

[tex]x+y=448[/tex] ----> equation A

[tex]60x+21y=17,052[/tex] -----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (196,252)

see the attached figure

therefore

The number of adults tickets sold was 196 and the number of children tickets sold was 252