SOLUTION: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $43, balcony tickets are $35, and mezzanine are $27. On on

Question 927930: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $43, balcony tickets are $35, and mezzanine are $27. On one particular night the sales totaled $45,839. Main floor sales we 71 more than the total of balcony and mezzanine sales. Balcony seats were 303 more than 3 times mezzanine sales. How many of each type of ticket were sold?
main floor tickets=_______
balcony tickets =_________
mezzanine tickets=________

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = number of tickets main
y = number of tickets balcony
z = number of tickets mezzanine
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43x + 35y + 27z = 45839
x = y + z + 71
y = 3z + 303
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put the system of linear equations into standard form
---
43x + 35y + 27z = 45839
x - y - z = 71
y - 3z = 303
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = number of tickets main = 626
y = number of tickets balcony = 492
z = number of tickets mezzanine = 63
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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