The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
S + n < 100
5s + 10n > 800

The number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.

The members of the drama club have 100 tickets to sell Students pay $5 per ticket, and nonstudents pay $10 per ticket. Inequalities given S + n < 100, 5s + 10n > 800. Maximum tickets for students and minimum tickets for nonstudents are to be determined.

What is inequality?

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let S + n = 100 -----(1)
5s + 10n = 800 ----(2)
Solving equations 1 and 2
S = 40 and n = 60
in order to hold the inequality s should be a maximum of 40 or n should be a minimum of 60.

Thus, the number of tickets sold to the student is s = 40 (maximum) and to the nonstudent is n = 60(minimum) in order to collect at least $800 in total ticket sales.

Learn more about inequality here:

brainly.com/question/14098842

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