11.09.2021

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
what is the maximum number of student tickets that can be sold if the drama club meets its sales goal?
40, 60, 80, or 100

. 24

Step-by-step answer

17.02.2022, solved by verified expert
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3 students found this answer . helpful

 The correct option is (A) 40.

Step-by-step explanation:  Given that the members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and non students 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 non student tickets, n, the members must sell is given below :

The members of the drama club have 100 tickets, №15220563, 11.09.2021 13:53

We are to find the maximum number of student tickets that can be sold if the drama club meets its sales goal.

Multiplying inequality (i) by 10 and (ii) by (-1), we have

The members of the drama club have 100 tickets, №15220563, 11.09.2021 13:53

Adding inequalities (iii) and (iv), we get

The members of the drama club have 100 tickets, №15220563, 11.09.2021 13:53

Thus, the maximum number of student tickets that can be sold is 40.

Option (A) is CORRECT.

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