Answer :
The number of student tickets that the drama club sold was 218.
How is the number determined?
Using mathematical operations, especially multiplication, subtraction, and division, we can compute the number of student tickets sold by the drama club on the opening night.
The first step is to determine the total earnings from the adult tickets by multiplying the unit cost by the number of tickets sold.
The total earnings from adult tickets are subtracted from the total earnings for the opening night.
The difference between the total earnings and the total earnings from adult tickets gives the total earnings from student tickets.
This difference is then divided by the unit cost for student tickets to arrive at the number of student tickets sold.
The total earnings from selling tickets = $5,710
The total number of adult tickets sold = 326
The selling price per adult ticket = $12.50
The total earnings from adult tickets = $4,075 ($12.50 x 326)
The total earnings from student tickets = $1,635 ($5,710 - $4,075)
The student tickets' unit selling price = $7.50
The number of student tickets sold = 218 ($1,635/$7.50)
Thus, using mathematical operations, the number of student tickets sold is 218.
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