The baseball game you work at has a total of 500 seats and sells three different types of tickets:  -adult for $8 -senior citizens for $7 - Children for $5  (The baseball management only has information on the total of tickets sold and how much money they made.)  For one night, They made $2,726 and there were only 57 open seats left. (They also sold twice as many child tickets as adult tickets) What is the system of equations that models the ticket sales for that night?  Solve those system of equations.                      How many of each type of ticket was sold that night?  please include work, so I know how to go about  completing this question.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.2: Systems Of Three Linear Equations In Three Variables
Problem 22PS
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The baseball game you work at has a total of 500 seats and sells three different types of tickets: 

-adult for $8

-senior citizens for $7

- Children for $5 

(The baseball management only has information on the total of tickets sold and how much money they made.) 

For one night, They made $2,726 and there were only 57 open seats left. (They also sold twice as many child tickets as adult tickets)

What is the system of equations that models the ticket sales for that night? 
Solve those system of equations.                      How many of each type of ticket was sold that night? 

please include work, so I know how to go about  completing this question. 

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