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 sometimes has information on the total of tickets sold and how much money they made.)  For one night, They made $3,269 and the game was sold out. (They also sold exactly 77 senior citizen 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 an explanation, so I know how to go about completing this

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
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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 sometimes has information on the total of tickets sold and how much money they made.) 

For one night, They made $3,269 and the game was sold out. (They also sold exactly 77 senior citizen 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 an explanation, so I know how to go about completing this question. 

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