The theater 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 theatre 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 solve using gaussian elimination. show your work organized so I know how to go about completing this question. thank you!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The theater 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 theatre 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 solve using gaussian elimination. show your work organized so I know how to go about completing this question. thank you!
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