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tickets to the play cost $5 for children and $8 for adults. if the auditorium, which holds 350 people, was sold out for all three preformances and the net income from ticket sales was $7455, how many children and how many adults attended the play?



Answer :

tutorconsortium636

248 children and 102 adults attended the play in the auditorium, which holds 350 people.

How do you solve this system of equations using substitution?

Let C be the number of children who attended the play, and A be the number of adults who attended the play. We can set up the following system of equations to represent this information:

C + A = 350

5C + 8A = 7455

We can solve this system of equations using substitution. Solving the first equation for A, we get A = 350 - C. Substituting this expression for A in the second equation, we get:

5C + 8(350 - C) = 7455

5C + 2800 - 8C = 7455

-3C = -745

C = 248

Substituting this value for C in the first equation, we get:

248 + A = 350

A = 102

Therefore, 248 children and 102 adults attended the play.

To know more about substitution method, visit:

brainly.com/question/14619835

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