Question 340378
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Let *[tex \Large x] represent the number of main floor seats. Let *[tex \Large y] represent the number of balcony seats.  The value of all of the main floor seats is then *[tex \Large 4x] and the value of all of the balcony seats is *[tex \Large 2.5y].  25% of the value of the main floor seats is *[tex \Large 0.25\,\cdot\,4x\ =\ x] and 40% of the value of the balcony seats is *[tex \Large 0.40\,\cdot\,2.5y\ =\ y].


Given the box office data we can now write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4x\ +\ 2.5y\ =\ 2100]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ y\ =\ 600]


Solve for *[tex \Large (x,y)] which is to say (# main floor seats,# balcony seats)     


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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