The capacity of seats at a venue has to be determined by putting the data in an equation.
Given:
Price of balcony seat for a concert is $35
Price of floor seat for a concert is $75
Price of balcony seat for a theatrical production is $25
Price of floor seat for a theatrical production is $60
Revenue of concert at full capacity is $27,750
Revenue of theatrical production at full capacity is $21,750
<h3>Equation</h3>
By putting the data of a concert and the data of a theatrical production in the equation to found that the equation as follows:
35 x 75 y = 27,750. 25 x 60 y = 21,750.
Elaborating further, the data given for the concert at full occupancy is balcony seat $35 and floor seat $75 which generates the revenue of $27,750, is matching completely with the first part of equation.
Similarly, the data given for a theatrical production at full occupancy is balcony seat $25 and floor seat $60 which generates the revenue of $21,750, is matching completely with the second part of equation.
Hence the system of equations which can be used to find the number of floor seats and balcony seats of the venue is OPTION B is correct i.e. 35 x 75 y = 27,750. 25 x 60 y = 21,750.
Learn more about the equations here:
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