Problema Solution
an auditorium has 600 balcony seats and 1900 main level seats. if tickets for balcony seats will cost $16 less then main level seats what should the price be for each type of ticket so that the total sell out revenue will be 105,400
Answer provided by our tutors
Let
x = the cost of main level seats ticket
x - 16 = the cost of balcony seats ticket
600*(x - 16) + 1900x = 105400
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click here to see the equation solved for x
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x = $46
x - 16 = 46 - 16 = $30
The price for one main level ticket is $46.
The price for one balcony seats ticket is $30.